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22220013120 = 2635213710831
BaseRepresentation
bin10100101100011010…
…100111111001000000
32010100112212121201220
4110230122213321000
5331001310404440
614112511555040
71414426665234
oct245432477100
963315777656
1022220013120
119472688808
12438152ba80
1321315c5676
14110b0925c4
158a0adc8d0
hex52c6a7e40

22220013120 has 112 divisors (see below), whose sum is σ = 70588071168. Its totient is φ = 5922017280.

The previous prime is 22220013097. The next prime is 22220013169. The reversal of 22220013120 is 2131002222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22220013120.

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, 2046105 + ... + 2056935.

Almost surely, 222220013120 is an apocalyptic number.

22220013120 is a gapful number since it is divisible by the number (20) 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 22220013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35294035584).

22220013120 is an abundant number, since it is smaller than the sum of its proper divisors (48368058048).

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

22220013120 is a wasteful number, since it uses less digits than its factorization.

22220013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12988 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22220013120 its reverse (2131002222), we get a palindrome (24351015342).

The spelling of 22220013120 in words is "twenty-two billion, two hundred twenty million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2137 4274 6411 8548 10685 10831 12822 17096 21370 21662 25644 32055 32493 34192 42740 43324 51288 54155 64110 64986 68384 85480 86648 102576 108310 128220 129972 136768 162465 170960 173296 205152 216620 256440 259944 324930 341920 346592 410304 433240 512880 519888 649860 683840 693184 866480 1025760 1039776 1299720 1732960 2051520 2079552 2599440 3465920 5198880 10397760 23145847 46291694 69437541 92583388 115729235 138875082 185166776 231458470 277750164 347187705 370333552 462916940 555500328 694375410 740667104 925833880 1111000656 1388750820 1481334208 1851667760 2222001312 2777501640 3703335520 4444002624 5555003280 7406671040 11110006560 22220013120