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20230333233440 = 2551122274603327
BaseRepresentation
bin1001001100110001111011…
…10100110111100100100000
32122122000000201002002212112
410212120331310313210200
510122423210301432230
6111005404202414452
74155410342140541
oct446307564674440
978560021062775
1020230333233440
11649a6aa785500
122328935801428
13b39934a30745
144dd220b2c4c8
15251386309d95
hex12663dd37920

20230333233440 has 144 divisors (see below), whose sum is σ = 52765518306816. Its totient is φ = 7324075799040.

The previous prime is 20230333233427. The next prime is 20230333233493. The reversal of 20230333233440 is 4433233303202.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20230333233397 and 20230333233406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2093057 + ... + 6696383.

It is an arithmetic number, because the mean of its divisors is an integer number (366427210464).

Almost surely, 220230333233440 is an apocalyptic number.

20230333233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20230333233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26382759153408).

20230333233440 is an abundant number, since it is smaller than the sum of its proper divisors (32535185073376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20230333233440 is a wasteful number, since it uses less digits than its factorization.

20230333233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4603591 (or 4603572 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 32.

Adding to 20230333233440 its reverse (4433233303202), we get a palindrome (24663566536642).

The spelling of 20230333233440 in words is "twenty trillion, two hundred thirty billion, three hundred thirty-three million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 227 242 352 440 454 484 605 880 908 968 1135 1210 1760 1816 1936 2270 2420 2497 3632 3872 4540 4840 4994 7264 9080 9680 9988 12485 18160 19360 19976 24970 27467 36320 39952 49940 54934 79904 99880 109868 137335 199760 219736 274670 399520 439472 549340 878944 1098680 2197360 4394720 4603327 9206654 18413308 23016635 36826616 46033270 50636597 73653232 92066540 101273194 147306464 184133080 202546388 253182985 368266160 405092776 506365970 557002567 736532320 810185552 1012731940 1044955229 1114005134 1620371104 2025463880 2089910458 2228010268 2785012835 4050927760 4179820916 4456020536 5224776145 5570025670 8101855520 8359641832 8912041072 10449552290 11140051340 11494507519 16719283664 17824082144 20899104580 22280102680 22989015038 33438567328 41798209160 44560205360 45978030076 57472537595 83596418320 89120410720 91956060152 114945075190 126439582709 167192836640 183912120304 229890150380 252879165418 367824240608 459780300760 505758330836 632197913545 919560601520 1011516661672 1264395827090 1839121203040 2023033323344 2528791654180 4046066646688 5057583308360 10115166616720 20230333233440