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2232544507040 = 25523909166733
BaseRepresentation
bin100000011111001110000…
…001011011010010100000
321220102120212100210022002
4200133032001123102200
5243034222343211130
64425341120503132
7320203351125551
oct40371601332240
97812525323262
102232544507040
117908a91988a1
1230082277aaa8
131326b315bbb3
147a0accd4328
153d118648b45
hex207ce05b4a0

2232544507040 has 96 divisors (see below), whose sum is σ = 5504395430016. Its totient is φ = 854084183040.

The previous prime is 2232544507021. The next prime is 2232544507049. The reversal of 2232544507040 is 407054452322.

It is a super-3 number, since 3×22325445070403 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232544506985 and 2232544507003.

It is not an unprimeable number, because it can be changed into a prime (2232544507049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33421514 + ... + 33488246.

It is an arithmetic number, because the mean of its divisors is an integer number (57337452396).

Almost surely, 22232544507040 is an apocalyptic number.

2232544507040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232544507040 is an abundant number, since it is smaller than the sum of its proper divisors (3271850922976).

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

2232544507040 is a wasteful number, since it uses less digits than its factorization.

2232544507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75862 (or 75854 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 38.

Adding to 2232544507040 its reverse (407054452322), we get a palindrome (2639598959362).

The spelling of 2232544507040 in words is "two trillion, two hundred thirty-two billion, five hundred forty-four million, five hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 9091 18182 36364 45455 66733 72728 90910 133466 145456 181820 209093 266932 290912 333665 363640 418186 533864 667330 727280 836372 1045465 1067728 1334660 1454560 1534859 1672744 2090930 2135456 2669320 3069718 3345488 4181860 5338640 6139436 6690976 7674295 8363720 10677280 12278872 15348590 16727440 24557744 30697180 33454880 49115488 61394360 122788720 245577440 606669703 1213339406 2426678812 3033348515 4853357624 6066697030 9706715248 12133394060 13953403169 19413430496 24266788120 27906806338 48533576240 55813612676 69767015845 97067152480 111627225352 139534031690 223254450704 279068063380 446508901408 558136126760 1116272253520 2232544507040