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52223675625 = 32541122772
BaseRepresentation
bin110000101000110001…
…100000110011101001
311222210120001121010100
4300220301200303221
51323423230110000
635554034340013
73526102630032
oct605061406351
9158716047110
1052223675625
11201699a3500
12a15572a609
134c03670814
142755bb1a89
151559bdba00
hexc28c60ce9

52223675625 has 135 divisors (see below), whose sum is σ = 103986325443. Its totient is φ = 25229160000.

The previous prime is 52223675579. The next prime is 52223675627. The reversal of 52223675625 is 52657632225.

The square root of 52223675625 is 228525.

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

52223675625 is a `hidden beast` number, since 5 + 2 + 2 + 23 + 67 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 51143370201 + 1080305424 = 226149^2 + 32868^2 .

It is not a de Polignac number, because 52223675625 - 215 = 52223642857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52223675627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 188532987 + ... + 188533263.

Almost surely, 252223675625 is an apocalyptic number.

52223675625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52223675625 is the 228525-th square number.

52223675625 is the 114263-rd centered octagonal number.

It is an amenable number.

52223675625 is a deficient number, since it is larger than the sum of its proper divisors (51762649818).

52223675625 is an equidigital number, since it uses as much as digits as its factorization.

52223675625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 296 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 52223675625 in words is "fifty-two billion, two hundred twenty-three million, six hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 165 225 275 277 363 375 495 605 625 825 831 1089 1125 1375 1385 1815 1875 2475 2493 3025 3047 4125 4155 5445 5625 6875 6925 9075 9141 12375 12465 15125 15235 20625 20775 27225 27423 33517 34625 45375 45705 61875 62325 75625 76175 76729 100551 103875 136125 137115 167585 173125 226875 228525 230187 301653 311625 380875 383645 502755 519375 680625 685575 690561 837925 844019 1142625 1150935 1508265 1558125 1904375 1918225 2513775 2532057 3427875 3452805 4189625 4220095 5713125 5754675 7541325 7596171 9284209 9591125 12568875 12660285 17139375 17264025 20948125 21100475 27852627 28773375 37706625 37980855 46421045 47955625 62844375 63301425 83557881 86320125 105502375 139263135 143866875 188533125 189904275 232105225 316507125 417789405 431600625 527511875 696315675 949521375 1160526125 1582535625 2088947025 3481578375 4747606875 5802630625 10444735125 17407891875 52223675625