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221228158392 = 2335373538713
BaseRepresentation
bin1100111000001000111…
…0011100110110111000
3210011000202210212100000
43032002032130312320
512111033402032032
6245344131113000
721661145214423
oct3160216346670
9704022725300
10221228158392
118590558985a
1236a60a42760
1317b28299c47
14a9c95469ba
155b4be3de7c
hex338239cdb8

221228158392 has 192 divisors, whose sum is σ = 640025174880. Its totient is φ = 71538204672.

The previous prime is 221228158379. The next prime is 221228158421. The reversal of 221228158392 is 293851822122.

221228158392 is a `hidden beast` number, since 2 + 21 + 228 + 15 + 8 + 392 = 666.

221228158392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25386228 + ... + 25394940.

Almost surely, 2221228158392 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 221228158392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320012587440).

221228158392 is an abundant number, since it is smaller than the sum of its proper divisors (418797016488).

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

221228158392 is a wasteful number, since it uses less digits than its factorization.

221228158392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 9108 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 221228158392 in words is "two hundred twenty-one billion, two hundred twenty-eight million, one hundred fifty-eight thousand, three hundred ninety-two".