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22149900 = 22325224611
BaseRepresentation
bin101010001111…
…1101100001100
31112200022221200
41110133230030
521132244100
62110425500
7356161653
oct124375414
945608850
1022149900
1111559603
127502290
134786b66
142d2819a
151e27e00
hex151fb0c

22149900 has 54 divisors (see below), whose sum is σ = 69430452. Its totient is φ = 5906400.

The previous prime is 22149899. The next prime is 22149901. The reversal of 22149900 is 994122.

22149900 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (22149899) and next prime (22149901).

It is not an unprimeable number, because it can be changed into a prime (22149901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11406 + ... + 13205.

Almost surely, 222149900 is an apocalyptic number.

22149900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22149900 is an abundant number, since it is smaller than the sum of its proper divisors (47280552).

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

22149900 is a wasteful number, since it uses less digits than its factorization.

22149900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24631 (or 24621 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 22149900 is about 4706.3680264085. The cubic root of 22149900 is about 280.8388956761.

The spelling of 22149900 in words is "twenty-two million, one hundred forty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 24611 49222 73833 98444 123055 147666 221499 246110 295332 369165 442998 492220 615275 738330 885996 1107495 1230550 1476660 1845825 2214990 2461100 3691650 4429980 5537475 7383300 11074950 22149900