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122614404 = 2231117101541
BaseRepresentation
bin1110100111011…
…11001010000100
322112201110100020
413103233022010
5222342130104
620100015140
73016130253
oct723571204
9275643306
10122614404
1163238020
12350914b0
131c530c03
14123da79a
15ab702d9
hex74ef284

122614404 has 96 divisors (see below), whose sum is σ = 334357632. Its totient is φ = 34560000.

The previous prime is 122614397. The next prime is 122614451. The reversal of 122614404 is 404416221.

It is a happy 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, 226374 + ... + 226914.

It is an arithmetic number, because the mean of its divisors is an integer number (3482892).

Almost surely, 2122614404 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 122614404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167178816).

122614404 is an abundant number, since it is smaller than the sum of its proper divisors (211743228).

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

122614404 is a wasteful number, since it uses less digits than its factorization.

122614404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

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

The square root of 122614404 is about 11073.1388503893. The cubic root of 122614404 is about 496.7987531118.

The spelling of 122614404 in words is "one hundred twenty-two million, six hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 132 187 202 204 303 374 404 541 561 606 748 1082 1111 1122 1212 1623 1717 2164 2222 2244 3246 3333 3434 4444 5151 5951 6492 6666 6868 9197 10302 11902 13332 17853 18394 18887 20604 23804 27591 35706 36788 37774 54641 55182 56661 71412 75548 101167 109282 110364 113322 163923 202334 218564 226644 303501 327846 404668 601051 607002 655692 928897 1202102 1214004 1803153 1857794 2404204 2786691 3606306 3715588 5573382 7212612 10217867 11146764 20435734 30653601 40871468 61307202 122614404