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22144020120 = 23325187732771
BaseRepresentation
bin10100100111111000…
…101110111010011000
32010011020212202221100
4110213320232322120
5330322332120440
614101155111400
71412515031265
oct244770567230
963136782840
1022144020120
1194337a4082
12435bba2560
13211b9390b1
141100d5026c
158990cb230
hex527e2ee98

22144020120 has 96 divisors (see below), whose sum is σ = 72008604720. Its totient is φ = 5901745920.

The previous prime is 22144020077. The next prime is 22144020127. The reversal of 22144020120 is 2102044122.

22144020120 is a `hidden beast` number, since 2 + 2 + 1 + 440 + 201 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22144020093 and 22144020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659335 + ... + 692105.

Almost surely, 222144020120 is an apocalyptic number.

22144020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144020120 is an abundant number, since it is smaller than the sum of its proper divisors (49864584600).

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

22144020120 is a wasteful number, since it uses less digits than its factorization.

22144020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34665 (or 34658 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22144020120 its reverse (2102044122), we get a palindrome (24246064242).

The spelling of 22144020120 in words is "twenty-two billion, one hundred forty-four million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1877 3754 5631 7508 9385 11262 15016 16893 18770 22524 28155 32771 33786 37540 45048 56310 65542 67572 75080 84465 98313 112620 131084 135144 163855 168930 196626 225240 262168 294939 327710 337860 393252 491565 589878 655420 675720 786504 983130 1179756 1310840 1474695 1966260 2359512 2949390 3932520 5898780 11797560 61511167 123022334 184533501 246044668 307555835 369067002 492089336 553600503 615111670 738134004 922667505 1107201006 1230223340 1476268008 1845335010 2214402012 2460446680 2768002515 3690670020 4428804024 5536005030 7381340040 11072010060 22144020120