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22048164 = 22324314243
BaseRepresentation
bin101010000011…
…0110110100100
31112111011101200
41110012312210
521121020124
62104322500
7355256235
oct124066644
945434350
1022048164
111149a126
127473430
13474c768
142cdd08c
151e07bc9
hex1506da4

22048164 has 36 divisors (see below), whose sum is σ = 57032976. Its totient is φ = 7177968.

The previous prime is 22048157. The next prime is 22048171. The reversal of 22048164 is 46184022.

It is an interprime number because it is at equal distance from previous prime (22048157) and next prime (22048171).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×220481642 = 972243071541792, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5574 + ... + 8669.

Almost surely, 222048164 is an apocalyptic number.

It is an amenable number.

22048164 is an abundant number, since it is smaller than the sum of its proper divisors (34984812).

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

22048164 is a wasteful number, since it uses less digits than its factorization.

22048164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14296 (or 14291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22048164 is about 4695.5472524510. The cubic root of 22048164 is about 280.4082649682.

It can be divided in two parts, 220 and 48164, that added together give a palindrome (48384).

The spelling of 22048164 in words is "twenty-two million, forty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 14243 28486 42729 56972 85458 128187 170916 256374 512748 612449 1224898 1837347 2449796 3674694 5512041 7349388 11024082 22048164