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221128146 = 232173123311
BaseRepresentation
bin11010010111000…
…10010111010010
3120102002110210100
431023202113102
5423102100041
633535313230
75323362321
oct1513422722
9512073710
10221128146
11103903938
126207b816
1336a74075
14215220b8
151462e6b6
hexd2e25d2

221128146 has 48 divisors (see below), whose sum is σ = 523680768. Its totient is φ = 67132800.

The previous prime is 221128123. The next prime is 221128147. The reversal of 221128146 is 641821122.

221128146 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 (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (221128147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2170 + ... + 21141.

It is an arithmetic number, because the mean of its divisors is an integer number (10910016).

Almost surely, 2221128146 is an apocalyptic number.

221128146 is an abundant number, since it is smaller than the sum of its proper divisors (302552622).

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

221128146 is a wasteful number, since it uses less digits than its factorization.

221128146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23367 (or 23364 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 221128146 is about 14870.3781391059. The cubic root of 221128146 is about 604.7111942601.

Adding to 221128146 its reverse (641821122), we get a palindrome (862949268).

The spelling of 221128146 in words is "two hundred twenty-one million, one hundred twenty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 4743 9486 23311 46622 69933 139866 209799 396287 419598 722641 792574 1188861 1445282 2167923 2377722 3566583 4335846 6503769 7133166 12284897 13007538 24569794 36854691 73709382 110564073 221128146