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214161144 = 23331287851
BaseRepresentation
bin11001100001111…
…01011011111000
3112220222111212020
430300331123320
5414311124034
633130114440
75210224341
oct1460753370
9486874766
10214161144
11aa98548a
125b87ba20
13354a4b92
142062b0c8
1513c05249
hexcc3d6f8

214161144 has 32 divisors (see below), whose sum is σ = 552675840. Its totient is φ = 69084000.

The previous prime is 214161137. The next prime is 214161169. The reversal of 214161144 is 441161412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143182 + ... + 144669.

It is an arithmetic number, because the mean of its divisors is an integer number (17271120).

Almost surely, 2214161144 is an apocalyptic number.

214161144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214161144 is an abundant number, since it is smaller than the sum of its proper divisors (338514696).

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

214161144 is a wasteful number, since it uses less digits than its factorization.

214161144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287891 (or 287887 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 214161144 is about 14634.2455903952. The cubic root of 214161144 is about 598.2925009099.

The spelling of 214161144 in words is "two hundred fourteen million, one hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 287851 575702 863553 1151404 1727106 2302808 3454212 6908424 8923381 17846762 26770143 35693524 53540286 71387048 107080572 214161144