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23223122202020 = 225131945671029349
BaseRepresentation
bin1010100011111000011011…
…11100110000110110100100
310001020002221022112000211212
411101330031330300312210
511020441423240431040
6121220315520450552
74614546421504466
oct521741574606644
9101202838460755
1023223122202020
11744396406a584
122730968779a58
13cc5c1460a240
145a4010054136
152a414794bd65
hex151f0df30da4

23223122202020 has 96 divisors (see below), whose sum is σ = 55296352608000. Its totient is φ = 8121605128704.

The previous prime is 23223122201971. The next prime is 23223122202031. The reversal of 23223122202020 is 2020222132232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22046306 + ... + 23075654.

It is an arithmetic number, because the mean of its divisors is an integer number (576003673000).

Almost surely, 223223122202020 is an apocalyptic number.

23223122202020 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 23223122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648176304000).

23223122202020 is an abundant number, since it is smaller than the sum of its proper divisors (32073230405980).

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

23223122202020 is a wasteful number, since it uses less digits than its factorization.

23223122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033957 (or 1033955 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 23223122202020 its reverse (2020222132232), we get a palindrome (25243344334252).

The spelling of 23223122202020 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4567 4940 9134 18268 22835 45670 59371 86773 91340 118742 173546 237484 296855 347092 433865 593710 867730 1029349 1128049 1187420 1735460 2058698 2256098 4117396 4512196 5146745 5640245 10293490 11280490 13381537 19557631 20586980 22560980 26763074 39115262 53526148 66907685 78230524 97788155 133815370 195576310 254249203 267630740 391152620 508498406 1016996812 1271246015 2542492030 4701036883 5084984060 9402073766 18804147532 23505184415 47010368830 61113479479 89319700777 94020737660 122226958958 178639401554 244453917916 305567397395 357278803108 446598503885 611134794790 893197007770 1161156110101 1222269589580 1786394015540 2322312220202 4644624440404 5805780550505 11611561101010 23223122202020