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22133000340 = 223251153210911
BaseRepresentation
bin10100100111001110…
…101100100010010100
32010010111010220122100
4110213032230202110
5330312022002330
614100123002100
71412322253533
oct244716544224
963114126570
1022133000340
119428557820
124358369330
13211957b309
1410dd6c231a
15898151060
hex5273ac894

22133000340 has 144 divisors (see below), whose sum is σ = 74622352896. Its totient is φ = 5264313600.

The previous prime is 22133000327. The next prime is 22133000359. The reversal of 22133000340 is 4300033122.

22133000340 is a `hidden beast` number, since 2 + 21 + 3 + 300 + 0 + 340 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516 + ... + 210395.

It is an arithmetic number, because the mean of its divisors is an integer number (518210784).

Almost surely, 222133000340 is an apocalyptic number.

22133000340 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 22133000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37311176448).

22133000340 is an abundant number, since it is smaller than the sum of its proper divisors (52489352556).

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

22133000340 is a wasteful number, since it uses less digits than its factorization.

22133000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210990 (or 210985 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22133000340 its reverse (4300033122), we get a palindrome (26433033462).

The spelling of 22133000340 in words is "twenty-two billion, one hundred thirty-three million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1166 1590 1749 1908 1980 2332 2385 2915 3180 3498 4770 5247 5830 6996 8745 9540 10494 11660 17490 20988 26235 34980 52470 104940 210911 421822 632733 843644 1054555 1265466 1898199 2109110 2320021 2530932 3163665 3796398 4218220 4640042 6327330 6960063 7592796 9280084 9490995 11178283 11600105 12654660 13920126 18981990 20880189 22356566 23200210 27840252 33534849 34800315 37963980 41760378 44713132 46400420 55891415 67069698 69600630 83520756 100604547 104400945 111782830 122961113 134139396 139201260 167674245 201209094 208801890 223565660 245922226 335348490 368883339 402418188 417603780 491844452 503022735 614805565 670696980 737766678 1006045470 1106650017 1229611130 1475533356 1844416695 2012090940 2213300034 2459222260 3688833390 4426600068 5533250085 7377666780 11066500170 22133000340