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126222642 = 232713263293
BaseRepresentation
bin1111000011000…
…00000100110010
322210111202220200
413201200010302
5224303111032
620305220030
73061606020
oct741400462
9283452820
10126222642
1165281a37
1236331616
13201c5370
1412a99710
15b13447c
hex7860132

126222642 has 96 divisors (see below), whose sum is σ = 339026688. Its totient is φ = 33049728.

The previous prime is 126222631. The next prime is 126222647. The reversal of 126222642 is 246222621.

It is a happy number.

126222642 is a `hidden beast` number, since 12 + 6 + 2 + 2 + 2 + 642 = 666.

It is not an unprimeable number, because it can be changed into a prime (126222647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430648 + ... + 430940.

It is an arithmetic number, because the mean of its divisors is an integer number (3531528).

Almost surely, 2126222642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126222642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169513344).

126222642 is an abundant number, since it is smaller than the sum of its proper divisors (212804046).

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

126222642 is a wasteful number, since it uses less digits than its factorization.

126222642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 126222642 is about 11234.8850461409. The cubic root of 126222642 is about 501.6249029935.

The spelling of 126222642 in words is "one hundred twenty-six million, two hundred twenty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 263 273 293 526 546 586 789 819 879 1578 1638 1758 1841 2051 2367 2637 3419 3682 3809 4102 4734 5274 5523 6153 6838 7618 10257 11046 11427 12306 16569 18459 20514 22854 23933 26663 30771 33138 34281 36918 47866 53326 61542 68562 71799 77059 79989 143598 154118 159978 215397 231177 239967 430794 462354 479934 539413 693531 1001767 1078826 1387062 1618239 2003534 3005301 3236478 4854717 6010602 7012369 9015903 9709434 14024738 18031806 21037107 42074214 63111321 126222642