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210152504224 = 2513505174289
BaseRepresentation
bin1100001110111000010…
…0001011101110100000
3202002102220000100002101
43003232010023232200
511420343020113344
6240313121300144
721116526545455
oct3035604135640
9662386010071
10210152504224
1181141678963
123488b794654
1316a817a4320
14a2585c182c
1556ee9089d4
hex30ee10bba0

210152504224 has 24 divisors (see below), whose sum is σ = 445563723780. Its totient is φ = 96993463296.

The previous prime is 210152504213. The next prime is 210152504251. The reversal of 210152504224 is 422405251012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 205872727824 + 4279776400 = 453732^2 + 65420^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210152504192 and 210152504201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252586729 + ... + 252587560.

Almost surely, 2210152504224 is an apocalyptic number.

It is an amenable number.

210152504224 is an abundant number, since it is smaller than the sum of its proper divisors (235411219556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210152504224 is a wasteful number, since it uses less digits than its factorization.

210152504224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505174312 (or 505174304 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 210152504224 its reverse (422405251012), we get a palindrome (632557755236).

The spelling of 210152504224 in words is "two hundred ten billion, one hundred fifty-two million, five hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 505174289 1010348578 2020697156 4041394312 6567265757 8082788624 13134531514 16165577248 26269063028 52538126056 105076252112 210152504224