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1222642368 = 26325935977
BaseRepresentation
bin100100011100000…
…0000101011000000
310011012121200000200
41020320000223000
510000444023433
6321153245200
742204201003
oct11070005300
93135550020
101222642368
11578171342
122a1563800
131663c152c
14b854553a
157250e613
hex48e00ac0

1222642368 has 84 divisors (see below), whose sum is σ = 3563980680. Its totient is φ = 400628736.

The previous prime is 1222642361. The next prime is 1222642409. The reversal of 1222642368 is 8632462221.

1222642368 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 642 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (1222642361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15996 + ... + 51972.

Almost surely, 21222642368 is an apocalyptic number.

1222642368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781990340).

1222642368 is an abundant number, since it is smaller than the sum of its proper divisors (2341338312).

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

1222642368 is a wasteful number, since it uses less digits than its factorization.

1222642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36054 (or 36041 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1222642368 is about 34966.3033219127. The cubic root of 1222642368 is about 1069.3006079638.

The spelling of 1222642368 in words is "one billion, two hundred twenty-two million, six hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 33984 35977 71954 107931 143908 215862 287816 323793 431724 575632 647586 863448 1151264 1295172 1726896 2122643 2302528 2590344 3453792 4245286 5180688 6367929 6907584 8490572 10361376 12735858 16981144 19103787 20722752 25471716 33962288 38207574 50943432 67924576 76415148 101886864 135849152 152830296 203773728 305660592 407547456 611321184 1222642368