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1135222816 = 25713974019
BaseRepresentation
bin100001110101010…
…0010000000100000
32221010010021221111
41003222202000200
54311104112231
6304351433104
740063143340
oct10352420040
92833107844
101135222816
11532892782
12278225794
13151263ca0
14aaaaad20
15699e24b1
hex43aa2020

1135222816 has 96 divisors (see below), whose sum is σ = 2779781760. Its totient is φ = 444358656.

The previous prime is 1135222807. The next prime is 1135222853. The reversal of 1135222816 is 6182225311.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280455 + ... + 284473.

It is an arithmetic number, because the mean of its divisors is an integer number (28956060).

Almost surely, 21135222816 is an apocalyptic number.

1135222816 is a gapful number since it is divisible by the number (16) 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 1135222816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389890880).

1135222816 is an abundant number, since it is smaller than the sum of its proper divisors (1644558944).

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

1135222816 is a wasteful number, since it uses less digits than its factorization.

1135222816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4138 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 1135222816 is about 33693.0677736534. The cubic root of 1135222816 is about 1043.1826860670.

The spelling of 1135222816 in words is "one billion, one hundred thirty-five million, two hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 97 104 112 182 194 208 224 364 388 416 679 728 776 1261 1358 1456 1552 2522 2716 2912 3104 4019 5044 5432 8038 8827 10088 10864 16076 17654 20176 21728 28133 32152 35308 40352 52247 56266 64304 70616 104494 112532 128608 141232 208988 225064 282464 365729 389843 417976 450128 731458 779686 835952 900256 1462916 1559372 1671904 2728901 2925832 3118744 5067959 5457802 5851664 6237488 10135918 10915604 11703328 12474976 20271836 21831208 35475713 40543672 43662416 70951426 81087344 87324832 141902852 162174688 283805704 567611408 1135222816