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212064156 = 22351072039
BaseRepresentation
bin11001010001111…
…01011110011100
3112210000222100000
430220331132130
5413242023111
633013134300
75153341563
oct1450753634
9483028300
10212064156
11a9782a37
125b02a390
1334c1c565
1420242bda
151393dc56
hexca3d79c

212064156 has 72 divisors (see below), whose sum is σ = 561375360. Its totient is φ = 69993072.

The previous prime is 212064143. The next prime is 212064169. The reversal of 212064156 is 651460212.

212064156 is a `hidden beast` number, since 2 + 12 + 0 + 641 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (212064143) and next prime (212064169).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102985 + ... + 105023.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2212064156 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 212064156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

212064156 is an abundant number, since it is smaller than the sum of its proper divisors (349311204).

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

212064156 is a wasteful number, since it uses less digits than its factorization.

212064156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212064156 is about 14562.4227379925. The cubic root of 212064156 is about 596.3333382978. Note that the first 5 decimals are identical.

The spelling of 212064156 in words is "two hundred twelve million, sixty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 963 972 1284 1926 2039 2889 3852 4078 5778 6117 8156 8667 11556 12234 17334 18351 24468 26001 34668 36702 52002 55053 73404 104004 110106 165159 218173 220212 330318 436346 495477 654519 660636 872692 990954 1309038 1963557 1981908 2618076 3927114 5890671 7854228 11781342 17672013 23562684 35344026 53016039 70688052 106032078 212064156