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22143121224 = 23371017691697
BaseRepresentation
bin10100100111110101…
…010011011101001000
32010011012012002212220
4110213311103131020
5330322114334344
614101123534040
71412504265510
oct244765233510
963135162786
1022143121224
11943323a794
12435b82a320
13211b6b2bc3
141100b98840
15898e9ec19
hex527d53748

22143121224 has 128 divisors (see below), whose sum is σ = 64013241600. Its totient is φ = 6252134400.

The previous prime is 22143121199. The next prime is 22143121241. The reversal of 22143121224 is 42212134122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22143121194 and 22143121203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13047544 + ... + 13049240.

It is an arithmetic number, because the mean of its divisors is an integer number (500103450).

Almost surely, 222143121224 is an apocalyptic number.

22143121224 is a gapful number since it is divisible by the number (24) 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 22143121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006620800).

22143121224 is an abundant number, since it is smaller than the sum of its proper divisors (41870120376).

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

22143121224 is a wasteful number, since it uses less digits than its factorization.

22143121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2579 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 22143121224 its reverse (42212134122), we get a palindrome (64355255346).

The spelling of 22143121224 in words is "twenty-two billion, one hundred forty-three million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 769 808 1212 1414 1538 1697 2121 2307 2424 2828 3076 3394 4242 4614 5091 5383 5656 6152 6788 8484 9228 10182 10766 11879 13576 16149 16968 18456 20364 21532 23758 32298 35637 40728 43064 47516 64596 71274 77669 95032 129192 142548 155338 171397 233007 285096 310676 342794 466014 514191 543683 621352 685588 932028 1028382 1087366 1199779 1304993 1371176 1631049 1864056 2056764 2174732 2399558 2609986 3262098 3599337 3914979 4113528 4349464 4799116 5219972 6524196 7198674 7829958 9134951 9598232 10439944 13048392 14397348 15659916 18269902 27404853 28794696 31319832 36539804 54809706 73079608 109619412 131804293 219238824 263608586 395412879 527217172 790825758 922630051 1054434344 1581651516 1845260102 2767890153 3163303032 3690520204 5535780306 7381040408 11071560612 22143121224