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227054156004 = 22321324121492
BaseRepresentation
bin1101001101110101111…
…0110111100011100100
3210201001210110012121100
43103131132313203210
512210001330443004
6252150210320100
722255420324254
oct3233536674344
9721053405540
10227054156004
1188325174015
1238007b89030
13185462b1a00
14adbd1bd964
155d8d655739
hex34dd7b78e4

227054156004 has 243 divisors, whose sum is σ = 641319902769. Its totient is φ = 67701404160.

The previous prime is 227054155973. The next prime is 227054156009. The reversal of 227054156004 is 400651450722.

It is a happy number.

The square root of 227054156004 is 476502.

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

227054156004 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 5 + 41 + 5 + 600 + 4 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 153530748900 + 73523407104 = 391830^2 + 271152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 227054156004.

It is not an unprimeable number, because it can be changed into a prime (227054156009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1523853322 + ... + 1523853470.

Almost surely, 2227054156004 is an apocalyptic number.

227054156004 is the 476502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227054156004

227054156004 is an abundant number, since it is smaller than the sum of its proper divisors (414265746765).

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

227054156004 is a wasteful number, since it uses less digits than its factorization.

227054156004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 227054156004 by its sum of digits (36), we get a square (8173949616144 = 28590122).

227054156004 divided by its sum of digits (36) gives a square (6307059889 = 794172).

The spelling of 227054156004 in words is "two hundred twenty-seven billion, fifty-four million, one hundred fifty-six thousand, four".