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22439005380 = 223251153213827
BaseRepresentation
bin10100111001011110…
…000000110011000100
32010220210221120122100
4110321132000303010
5331423341133010
614150333432100
71423026253521
oct247136006304
963823846570
1022439005380
119575262950
12442293b630
132167a9c49c
14112c1ba148
158b4e492c0
hex539780cc4

22439005380 has 144 divisors (see below), whose sum is σ = 75654057024. Its totient is φ = 5337096960.

The previous prime is 22439005297. The next prime is 22439005399. The reversal of 22439005380 is 8350093422.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1974 + ... + 211853.

It is an arithmetic number, because the mean of its divisors is an integer number (525375396).

Almost surely, 222439005380 is an apocalyptic number.

22439005380 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 22439005380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37827028512).

22439005380 is an abundant number, since it is smaller than the sum of its proper divisors (53215051644).

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

22439005380 is a wasteful number, since it uses less digits than its factorization.

22439005380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213906 (or 213901 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22439005380 in words is "twenty-two billion, four hundred thirty-nine million, five thousand, three hundred eighty".

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 213827 427654 641481 855308 1069135 1282962 1924443 2138270 2352097 2565924 3207405 3848886 4276540 4704194 6414810 7056291 7697772 9408388 9622215 11332831 11760485 12829620 14112582 19244430 21168873 22665662 23520970 28225164 33998493 35281455 38488860 42337746 45331324 47041940 56664155 67996986 70562910 84675492 101995479 105844365 113328310 124661141 135993972 141125820 169992465 203990958 211688730 226656620 249322282 339984930 373983423 407981916 423377460 498644564 509977395 623305705 679969860 747966846 1019954790 1121950269 1246611410 1495933692 1869917115 2039909580 2243900538 2493222820 3739834230 4487801076 5609751345 7479668460 11219502690 22439005380