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22019770368 = 2113210932
BaseRepresentation
bin10100100000011110…
…110000100000000000
32002211121002020022200
4110200132300200000
5330044030122433
614041000033200
71406445650151
oct244036604000
962747066280
1022019770368
11937a64a432
124326462800
1320cbc84a2b
1410cc649928
1588d236613
hex5207b0800

22019770368 has 108 divisors (see below), whose sum is σ = 63655378605. Its totient is φ = 7333208064.

The previous prime is 22019770361. The next prime is 22019770379. The reversal of 22019770368 is 86307791022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13649716224 + 8370054144 = 116832^2 + 91488^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=104928.

It is not an unprimeable number, because it can be changed into a prime (22019770361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20145630 + ... + 20146722.

Almost surely, 222019770368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22019770368

22019770368 is an abundant number, since it is smaller than the sum of its proper divisors (41635608237).

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

22019770368 is an frugal number, since it uses more digits than its factorization.

22019770368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 22019770368 in words is "twenty-two billion, nineteen million, seven hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1093 1152 1536 2048 2186 2304 3072 3279 4372 4608 6144 6558 8744 9216 9837 13116 17488 18432 19674 26232 34976 39348 52464 69952 78696 104928 139904 157392 209856 279808 314784 419712 559616 629568 839424 1119232 1194649 1259136 1678848 2238464 2389298 2518272 3357696 3583947 4778596 5036544 6715392 7167894 9557192 10073088 10751841 14335788 19114384 20146176 21503682 28671576 38228768 43007364 57343152 76457536 86014728 114686304 152915072 172029456 229372608 305830144 344058912 458745216 611660288 688117824 917490432 1223320576 1376235648 1834980864 2446641152 2752471296 3669961728 5504942592 7339923456 11009885184 22019770368