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122264142 = 237111320357
BaseRepresentation
bin1110100100110…
…01101001001110
322112001122212120
413102121221032
5222244423032
620044313410
73013141140
oct722315116
9275048776
10122264142
1163018950
1234b42866
131c43a660
1412348c90
15ab0162c
hex7499a4e

122264142 has 64 divisors (see below), whose sum is σ = 328333824. Its totient is φ = 29312640.

The previous prime is 122264111. The next prime is 122264167. The reversal of 122264142 is 241462221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4173 + ... + 16184.

It is an arithmetic number, because the mean of its divisors is an integer number (5130216).

Almost surely, 2122264142 is an apocalyptic number.

122264142 is an abundant number, since it is smaller than the sum of its proper divisors (206069682).

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

122264142 is a wasteful number, since it uses less digits than its factorization.

122264142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20393.

The product of its digits is 1536, while the sum is 24.

The square root of 122264142 is about 11057.3116986002. The cubic root of 122264142 is about 496.3252478914.

The spelling of 122264142 in words is "one hundred twenty-two million, two hundred sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 20357 40714 61071 122142 142499 223927 264641 284998 427497 447854 529282 671781 793923 854994 1343562 1567489 1587846 1852487 2911051 3134978 3704974 4702467 5557461 5822102 8733153 9404934 11114922 17466306 20377357 40754714 61132071 122264142