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2332234120 = 2351132412141
BaseRepresentation
bin1000101100000011…
…0001000110001000
320000112111202202111
42023000301012020
514234022442440
61023231512104
7111536443246
oct21300610610
96015452674
102332234120
11a97538017
12551088634
132b224ccb8
14181a5d796
15d9b3c4ea
hex8b031188

2332234120 has 64 divisors (see below), whose sum is σ = 5318414640. Its totient is φ = 920371200.

The previous prime is 2332234111. The next prime is 2332234133. The reversal of 2332234120 is 214322332.

It can be written as a sum of positive squares in 8 ways, for example, as 1211457636 + 1120776484 = 34806^2 + 33478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2332234091 and 2332234100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088250 + ... + 1090390.

Almost surely, 22332234120 is an apocalyptic number.

2332234120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2332234120 is an abundant number, since it is smaller than the sum of its proper divisors (2986180520).

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

2332234120 is a wasteful number, since it uses less digits than its factorization.

2332234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2332234120 is about 48293.2098746811. The cubic root of 2332234120 is about 1326.1440921682.

Adding to 2332234120 its reverse (214322332), we get a palindrome (2546556452).

The spelling of 2332234120 in words is "two billion, three hundred thirty-two million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 241 452 482 565 904 964 1130 1205 1928 2141 2260 2410 4282 4520 4820 8564 9640 10705 17128 21410 27233 42820 54466 85640 108932 136165 217864 241933 272330 483866 515981 544660 967732 1031962 1089320 1209665 1935464 2063924 2419330 2579905 4127848 4838660 5159810 9677320 10319620 20639240 58305853 116611706 233223412 291529265 466446824 583058530 1166117060 2332234120