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1130224290 = 2351313920849
BaseRepresentation
bin100001101011101…
…1101101010100010
32220202201100020220
41003113131222202
54303314134130
6304052343510
740002514356
oct10327355242
92822640226
101130224290
1152aa89268
12276614b96
13150203a90
14aa169466
1569356410
hex435ddaa2

1130224290 has 64 divisors (see below), whose sum is σ = 2942352000. Its totient is φ = 276194304.

The previous prime is 1130224289. The next prime is 1130224297. The reversal of 1130224290 is 924220311.

It is a self number, because there is not a number n which added to its sum of digits gives 1130224290.

It is not an unprimeable number, because it can be changed into a prime (1130224297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43786 + ... + 64634.

It is an arithmetic number, because the mean of its divisors is an integer number (45974250).

Almost surely, 21130224290 is an apocalyptic number.

1130224290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130224290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471176000).

1130224290 is an abundant number, since it is smaller than the sum of its proper divisors (1812127710).

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

1130224290 is a wasteful number, since it uses less digits than its factorization.

1130224290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21011.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1130224290 is about 33618.8085749629. The cubic root of 1130224290 is about 1041.6493460444.

The spelling of 1130224290 in words is "one billion, one hundred thirty million, two hundred twenty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 139 195 278 390 417 695 834 1390 1807 2085 3614 4170 5421 9035 10842 18070 20849 27105 41698 54210 62547 104245 125094 208490 271037 312735 542074 625470 813111 1355185 1626222 2710370 2898011 4065555 5796022 8131110 8694033 14490055 17388066 28980110 37674143 43470165 75348286 86940330 113022429 188370715 226044858 376741430 565112145 1130224290