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225019740432964 = 222772270772
BaseRepresentation
bin110011001010011101111101…
…101100100010101001000100
31002111201200021121022120212011
4303022131331230202221010
5213443210412022323324
62114324350334104004
765253065636116351
oct6312357554425104
91074650247276764
10225019740432964
1165775377249354
12212a23bb94b004
1398733692cc629
143d7d029263628
151b0342e6ddc94
hexcca77db22a44

225019740432964 has 27 divisors (see below), whose sum is σ = 395225879132343. Its totient is φ = 112099557218208.

The previous prime is 225019740432941. The next prime is 225019740432973. The reversal of 225019740432964 is 469234047910522.

The square root of 225019740432964 is 15000658.

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

225019740432964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31740272964 + 224988000160000 = 178158^2 + 14999600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225019740432899 and 225019740432908.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8310350994 + ... + 8310378070.

Almost surely, 2225019740432964 is an apocalyptic number.

225019740432964 is the 15000658-th square number.

It is an amenable number.

225019740432964 is a deficient number, since it is larger than the sum of its proper divisors (170206138699379).

225019740432964 is an frugal number, since it uses more digits than its factorization.

225019740432964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54712 (or 27356 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 225019740432964 in words is "two hundred twenty-five trillion, nineteen billion, seven hundred forty million, four hundred thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 277 554 1108 27077 54154 76729 108308 153458 306916 7500329 15000658 30001316 733163929 1466327858 2077591133 2932655716 4155182266 8310364532 203086408333 406172816666 812345633332 56254935108241 112509870216482 225019740432964