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212250144 = 2532210939
BaseRepresentation
bin11001010011010…
…10111000100000
3112210101102110110
430221222320200
5413314001034
633021131320
75155045041
oct1451527040
9483342413
10212250144
11a989a747
125b0b9b40
1334c86102
14202908c8
1513978de9
hexca6ae20

212250144 has 24 divisors (see below), whose sum is σ = 557156880. Its totient is φ = 70750016.

The previous prime is 212250139. The next prime is 212250161. The reversal of 212250144 is 441052212.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×2122501444 (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212250144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1105374 + ... + 1105565.

It is an arithmetic number, because the mean of its divisors is an integer number (23214870).

Almost surely, 2212250144 is an apocalyptic number.

212250144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212250144 is an abundant number, since it is smaller than the sum of its proper divisors (344906736).

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

212250144 is a wasteful number, since it uses less digits than its factorization.

212250144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210952 (or 2210944 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 212250144 is about 14568.8072263998. The cubic root of 212250144 is about 596.5076227196.

The spelling of 212250144 in words is "two hundred twelve million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2210939 4421878 6632817 8843756 13265634 17687512 26531268 35375024 53062536 70750048 106125072 212250144