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25221160040 = 2356110336541
BaseRepresentation
bin10111011111010011…
…000101110001101000
32102002201001200100112
4113133103011301220
5403123104110130
615330400553452
71552001215556
oct273723056150
972081050315
1025221160040
11a77276191a
124a7a622888
1324bc2bbc4b
1413138b6bd6
159c930b495
hex5df4c5c68

25221160040 has 32 divisors (see below), whose sum is σ = 57677904360. Its totient is φ = 9923078400.

The previous prime is 25221160037. The next prime is 25221160087. The reversal of 25221160040 is 4006112252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20408408164 + 4812751876 = 142858^2 + 69374^2 .

It is a super-2 number, since 2×252211600402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25221159988 and 25221160015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5165831 + ... + 5170710.

Almost surely, 225221160040 is an apocalyptic number.

25221160040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25221160040 is an abundant number, since it is smaller than the sum of its proper divisors (32456744320).

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

25221160040 is a wasteful number, since it uses less digits than its factorization.

25221160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336613 (or 10336609 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 25221160040 its reverse (4006112252), we get a palindrome (29227272292).

The spelling of 25221160040 in words is "twenty-five billion, two hundred twenty-one million, one hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 10336541 20673082 41346164 51682705 82692328 103365410 206730820 413461640 630529001 1261058002 2522116004 3152645005 5044232008 6305290010 12610580020 25221160040