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22153164 = 2231131973
BaseRepresentation
bin101010010000…
…0011111001100
31112200111102120
41110200133030
521132400124
62110452540
7356204325
oct124403714
945614376
1022153164
1111561000
127504150
1347884a7
142d2944c
151e28d79
hex15207cc

22153164 has 96 divisors (see below), whose sum is σ = 60668160. Its totient is φ = 6272640.

The previous prime is 22153147. The next prime is 22153177. The reversal of 22153164 is 46135122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303432 + ... + 303504.

It is an arithmetic number, because the mean of its divisors is an integer number (631960).

Almost surely, 222153164 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 22153164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30334080).

22153164 is an abundant number, since it is smaller than the sum of its proper divisors (38514996).

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

22153164 is a wasteful number, since it uses less digits than its factorization.

22153164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 22153164 is about 4706.7147778466. The cubic root of 22153164 is about 280.8526897660.

Adding to 22153164 its reverse (46135122), we get a palindrome (68288286).

The spelling of 22153164 in words is "twenty-two million, one hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 73 76 114 121 132 146 209 219 228 242 292 363 418 438 484 627 726 803 836 876 1254 1331 1387 1452 1606 2299 2409 2508 2662 2774 3212 3993 4161 4598 4818 5324 5548 6897 7986 8322 8833 9196 9636 13794 15257 15972 16644 17666 25289 26499 27588 30514 35332 45771 50578 52998 61028 75867 91542 97163 101156 105996 151734 167827 183084 194326 291489 303468 335654 388652 503481 582978 671308 1006962 1165956 1846097 2013924 3692194 5538291 7384388 11076582 22153164