Search a number
-
+
202864664025 = 3452100092
BaseRepresentation
bin1011110011101110101…
…1010001110111011001
3201101121222122200210000
42330323223101313121
511310431323222100
6233110021443213
720441114123112
oct2747353216731
9641558580700
10202864664025
11790418a5731
1233396b70509
131618c96a24a
149b66739209
155424bd3900
hex2f3bad1dd9

202864664025 has 45 divisors (see below), whose sum is σ = 375813031341. Its totient is φ = 108183677760.

The previous prime is 202864664017. The next prime is 202864664029. The reversal of 202864664025 is 520466468202.

The square root of 202864664025 is 450405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61581896649 + 141282767376 = 248157^2 + 375876^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 202864664025 - 23 = 202864664017 is a prime.

It is a super-2 number, since 2×2028646640252 (a number of 23 digits) contains 22 as substring.

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 (202864664029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20263221 + ... + 20273229.

Almost surely, 2202864664025 is an apocalyptic number.

202864664025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

202864664025 is the 450405-th square number.

202864664025 is the 225203-rd centered octagonal number.

It is an amenable number.

202864664025 is a deficient number, since it is larger than the sum of its proper divisors (172948367316).

202864664025 is an frugal number, since it uses more digits than its factorization.

202864664025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20040 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 202864664025 in words is "two hundred two billion, eight hundred sixty-four million, six hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 10009 30027 50045 90081 150135 250225 270243 450405 750675 810729 1351215 2252025 4053645 6756075 20268225 100180081 300540243 500900405 901620729 1502701215 2504502025 2704862187 4508103645 7513506075 8114586561 13524310935 22540518225 40572932805 67621554675 202864664025