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2232034420 = 22571110913297
BaseRepresentation
bin1000010100001010…
…0010010001110100
312202112222002121111
42011002202101310
514032400100140
61005252124404
7106211656660
oct20502422164
95675862544
102232034420
11a45a1a550
12523606704
13297569635
141726198a0
15d0e487ea
hex850a2474

2232034420 has 96 divisors (see below), whose sum is σ = 5897928960. Its totient is φ = 689264640.

The previous prime is 2232034417. The next prime is 2232034447. The reversal of 2232034420 is 244302322.

It is a super-3 number, since 3×22320344203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2232034391 and 2232034400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161212 + ... + 174508.

It is an arithmetic number, because the mean of its divisors is an integer number (61436760).

Almost surely, 22232034420 is an apocalyptic number.

2232034420 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 2232034420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948964480).

2232034420 is an abundant number, since it is smaller than the sum of its proper divisors (3665894540).

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

2232034420 is a wasteful number, since it uses less digits than its factorization.

2232034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13433 (or 13431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2232034420 is about 47244.4115213641. The cubic root of 2232034420 is about 1306.8737331791.

Adding to 2232034420 its reverse (244302322), we get a palindrome (2476336742).

The spelling of 2232034420 in words is "two billion, two hundred thirty-two million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 109 110 140 154 218 220 308 385 436 545 763 770 1090 1199 1526 1540 2180 2398 3052 3815 4796 5995 7630 8393 11990 13297 15260 16786 23980 26594 33572 41965 53188 66485 83930 93079 132970 146267 167860 186158 265940 292534 372316 465395 585068 731335 930790 1023869 1449373 1462670 1861580 2047738 2898746 2925340 4095476 5119345 5797492 7246865 10145611 10238690 14493730 15943103 20291222 20477380 28987460 31886206 40582444 50728055 63772412 79715515 101456110 111601721 159431030 202912220 223203442 318862060 446406884 558008605 1116017210 2232034420