Search a number
-
+
22398102384 = 2437972113257
BaseRepresentation
bin10100110111000001…
…111110101101110000
32010210221222111021120
4110313001332231300
5331332403234014
614142313022240
71422021505020
oct246701765560
963727874246
1022398102384
119554165919
1244110b4980
13215c47a928
1411269ada80
158b1569ba9
hex53707eb70

22398102384 has 160 divisors (see below), whose sum is σ = 67146702336. Its totient is φ = 6301532160.

The previous prime is 22398102371. The next prime is 22398102407. The reversal of 22398102384 is 48320189322.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6875284 + ... + 6878540.

Almost surely, 222398102384 is an apocalyptic number.

22398102384 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 22398102384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33573351168).

22398102384 is an abundant number, since it is smaller than the sum of its proper divisors (44748599952).

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

22398102384 is a wasteful number, since it uses less digits than its factorization.

22398102384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 22398102384 in words is "twenty-two billion, three hundred ninety-eight million, one hundred two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 211 291 336 388 422 582 633 679 776 844 1164 1266 1358 1477 1552 1688 2037 2328 2532 2716 2954 3257 3376 4074 4431 4656 5064 5432 5908 6514 8148 8862 9771 10128 10864 11816 13028 16296 17724 19542 20467 22799 23632 26056 32592 35448 39084 40934 45598 52112 61401 68397 70896 78168 81868 91196 122802 136794 143269 156336 163736 182392 245604 273588 286538 315929 327472 364784 429807 491208 547176 573076 631858 687227 859614 947787 982416 1094352 1146152 1263716 1374454 1719228 1895574 2061681 2211503 2292304 2527432 2748908 3438456 3791148 4123362 4423006 4810589 5054864 5497816 6634509 6876912 7582296 8246724 8846012 9621178 10995632 13269018 14431767 15164592 16493448 17692024 19242356 26538036 28863534 32986896 35384048 38484712 53076072 57727068 66661019 76969424 106152144 115454136 133322038 199983057 230908272 266644076 399966114 466627133 533288152 799932228 933254266 1066576304 1399881399 1599864456 1866508532 2799762798 3199728912 3733017064 5599525596 7466034128 11199051192 22398102384