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22022121120 = 253571646189
BaseRepresentation
bin10100100000100111…
…101110011010100000
32002211202111122221120
4110200213232122200
5330100130333440
614041122252240
71406504640516
oct244047563240
962752448846
1022022121120
119380a055aa
1243271b7080
1320cc5c89cc
1410cca9c4b6
1588d54cdd0
hex5209ee6a0

22022121120 has 96 divisors (see below), whose sum is σ = 70346828160. Its totient is φ = 5789844480.

The previous prime is 22022121101. The next prime is 22022121127. The reversal of 22022121120 is 2112122022.

It is a tau number, because it is divible by the number of its divisors (96).

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 22022121120.

It is not an unprimeable number, because it can be changed into a prime (22022121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289015 + ... + 357174.

It is an arithmetic number, because the mean of its divisors is an integer number (732779460).

Almost surely, 222022121120 is an apocalyptic number.

22022121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022121120 is an abundant number, since it is smaller than the sum of its proper divisors (48324707040).

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

22022121120 is a wasteful number, since it uses less digits than its factorization.

22022121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646278 (or 646270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22022121120 its reverse (2112122022), we get a palindrome (24134243142).

The spelling of 22022121120 in words is "twenty-two billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 852 1065 1136 1420 1704 2130 2272 2840 3408 4260 5680 6816 8520 11360 17040 34080 646189 1292378 1938567 2584756 3230945 3877134 5169512 6461890 7754268 9692835 10339024 12923780 15508536 19385670 20678048 25847560 31017072 38771340 45879419 51695120 62034144 77542680 91758838 103390240 137638257 155085360 183517676 229397095 275276514 310170720 367035352 458794190 550553028 688191285 734070704 917588380 1101106056 1376382570 1468141408 1835176760 2202212112 2752765140 3670353520 4404424224 5505530280 7340707040 11011060560 22022121120