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22415916357025 = 52472201472
BaseRepresentation
bin1010001100011000111001…
…01110110101010110100001
32221100221101202022102211021
411012030130232311112201
510414230244041411100
6115401421350045441
74502332206153142
oct506143456652641
987327352272737
1022415916357025
11716259a446894
122620431049881
13c67a72805079
14576d16aabac9
1528d151c2ea1a
hex14631cbb55a1

22415916357025 has 27 divisors (see below), whose sum is σ = 28401127572019. Its totient is φ = 17550314416880.

The previous prime is 22415916357007. The next prime is 22415916357047. The reversal of 22415916357025 is 52075361951422.

It is a happy number.

The square root of 22415916357025 is 4734545.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8069729888529 + 14346186468496 = 2840727^2 + 3787636^2 .

It is not a de Polignac number, because 22415916357025 - 229 = 22415379486113 is a prime.

It is a super-2 number, since 2×224159163570252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1112608002 + ... + 1112628148.

Almost surely, 222415916357025 is an apocalyptic number.

22415916357025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22415916357025 is the 4734545-th square number.

22415916357025 is the 2367273-rd centered octagonal number.

It is an amenable number.

22415916357025 is a deficient number, since it is larger than the sum of its proper divisors (5985211214994).

22415916357025 is an frugal number, since it uses more digits than its factorization.

22415916357025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40398 (or 20199 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

It can be divided in two parts, 224159 and 16357025, that added together give a square (16581184 = 40722).

The spelling of 22415916357025 in words is "twenty-two trillion, four hundred fifteen billion, nine hundred sixteen million, three hundred fifty-seven thousand, twenty-five".

Divisors: 1 5 25 47 235 1175 2209 11045 20147 55225 100735 503675 946909 4734545 23672725 44504723 222523615 405901609 1112618075 2029508045 10147540225 19077375623 95386878115 476934390575 896636654281 4483183271405 22415916357025