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228195662004 = 22326338768389
BaseRepresentation
bin1101010010000110000…
…1010111100010110100
3210211000100101201110100
43110201201113202310
512214321042141004
6252455344554100
722325621060142
oct3244141274264
9724010351410
10228195662004
1188860558402
1238286322930
131869893584b
14b08aa44592
155e08989739
hex35218578b4

228195662004 has 18 divisors (see below), whose sum is σ = 576827923490. Its totient is φ = 76065220656.

The previous prime is 228195661979. The next prime is 228195662017. The reversal of 228195662004 is 400266591822.

228195662004 is a `hidden beast` number, since 2 + 2 + 8 + 19 + 5 + 6 + 620 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211000585104 + 17195076900 = 459348^2 + 131130^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3169384159 + ... + 3169384230.

Almost surely, 2228195662004 is an apocalyptic number.

It is an amenable number.

228195662004 is an abundant number, since it is smaller than the sum of its proper divisors (348632261486).

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

228195662004 is a wasteful number, since it uses less digits than its factorization.

228195662004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338768399 (or 6338768394 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 228195662004 in words is "two hundred twenty-eight billion, one hundred ninety-five million, six hundred sixty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 6338768389 12677536778 19016305167 25355073556 38032610334 57048915501 76065220668 114097831002 228195662004