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227894642352 = 243213210399013
BaseRepresentation
bin1101010000111110010…
…1000100011010110000
3210210020100222100010100
43110033211010122300
512213212012023402
6252405433032400
722315304332626
oct3241745043260
9723210870110
10227894642352
1188716647933
1238201555700
131864b46b900
14b05ca87516
155ddc32871c
hex350f9446b0

227894642352 has 180 divisors, whose sum is σ = 691364425440. Its totient is φ = 70046166528.

The previous prime is 227894642251. The next prime is 227894642369. The reversal of 227894642352 is 253246498722.

227894642352 is a `hidden beast` number, since 227 + 8 + 9 + 4 + 64 + 2 + 352 = 666.

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 35 ways as a sum of consecutive naturals, for example, 25280598 + ... + 25289610.

Almost surely, 2227894642352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227894642352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345682212720).

227894642352 is an abundant number, since it is smaller than the sum of its proper divisors (463469783088).

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

227894642352 is a wasteful number, since it uses less digits than its factorization.

227894642352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092 (or 10070 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 227894642352 in words is "two hundred twenty-seven billion, eight hundred ninety-four million, six hundred forty-two thousand, three hundred fifty-two".