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332680936225 = 52112104872
BaseRepresentation
bin1001101011101010101…
…01000011101100100001
31011210201002212121020111
410311311111003230201
520422312304424400
6412455335011321
733015100204651
oct4656525035441
91153632777214
10332680936225
111190a8796400
1254586209b41
13254aa7641b1
141215d65a361
1589c18543ba
hex4d75543b21

332680936225 has 27 divisors (see below), whose sum is σ = 453479109811. Its totient is φ = 241926700400.

The previous prime is 332680936201. The next prime is 332680936279. The reversal of 332680936225 is 522639086233.

The square root of 332680936225 is 576785.

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., 119765137041 + 212915799184 = 346071^2 + 461428^2 .

It is not a de Polignac number, because 332680936225 - 27 = 332680936097 is a prime.

It is a super-2 number, since 2×3326809362252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 31717932 + ... + 31728418.

Almost surely, 2332680936225 is an apocalyptic number.

332680936225 is the 576785-th square number.

332680936225 is the 288393-rd centered octagonal number.

It is an amenable number.

332680936225 is a deficient number, since it is larger than the sum of its proper divisors (120798173586).

332680936225 is an frugal number, since it uses more digits than its factorization.

332680936225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21006 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

Multiplying 332680936225 by its sum of digits (49), we get a square (16301365875025 = 40374952).

The spelling of 332680936225 in words is "three hundred thirty-two billion, six hundred eighty million, nine hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 10487 52435 115357 262175 576785 1268927 2883925 6344635 31723175 109977169 549885845 1209748859 2749429225 6048744295 13307237449 30243721475 66536187245 332680936225