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30833604025 = 52722921732
BaseRepresentation
bin11100101101110100…
…110111010110111001
32221120211212101010021
4130231310313112321
51001121400312100
622055331050441
72141041211200
oct345564672671
987524771107
1030833604025
1112092847084
125b86140a21
132ba4cb2513
1416c7040237
15c06ddca1a
hex72dd375b9

30833604025 has 81 divisors (see below), whose sum is σ = 46330232871. Its totient is φ = 20295972480.

The previous prime is 30833603993. The next prime is 30833604047. The reversal of 30833604025 is 52040633803.

The square root of 30833604025 is 175595.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5191346601 + 25642257424 = 72051^2 + 160132^2 .

It is not a de Polignac number, because 30833604025 - 25 = 30833603993 is a prime.

It is a super-2 number, since 2×308336040252 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 178228839 + ... + 178229011.

Almost surely, 230833604025 is an apocalyptic number.

30833604025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30833604025 is the 175595-th square number.

30833604025 is the 87798-th centered octagonal number.

It is an amenable number.

30833604025 is a deficient number, since it is larger than the sum of its proper divisors (15496628846).

30833604025 is an equidigital number, since it uses as much as digits as its factorization.

30833604025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 30833604025 in words is "thirty billion, eight hundred thirty-three million, six hundred four thousand, twenty-five".

Divisors: 1 5 7 25 29 35 49 145 173 175 203 245 725 841 865 1015 1211 1225 1421 4205 4325 5017 5075 5887 6055 7105 8477 21025 25085 29435 29929 30275 35119 35525 41209 42385 125425 145493 147175 149645 175595 206045 209503 211925 245833 727465 748225 867941 877975 1018451 1030225 1047515 1229165 1466521 3637325 4339705 5092255 5237575 6075587 6145825 7129157 7332605 21698525 25170289 25461275 30377935 35645785 36663025 42529109 125851445 151889675 176192023 178228925 212645545 629257225 880960115 1063227725 1233344161 4404800575 6166720805 30833604025