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22301002320 = 2435296914637
BaseRepresentation
bin10100110001001111…
…100100101001010000
32010120012021022000220
4110301033210221100
5331133024033240
614124523513040
71416432251322
oct246117445120
963505238026
1022301002320
119504375133
1243a4688780
13214531107c
141117b35612
158a7c895d0
hex5313e4a50

22301002320 has 160 divisors (see below), whose sum is σ = 71635950720. Its totient is φ = 5732321280.

The previous prime is 22301002319. The next prime is 22301002387. The reversal of 22301002320 is 2320010322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22301002320.

It is a congruent number.

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, 4807042 + ... + 4811678.

It is an arithmetic number, because the mean of its divisors is an integer number (447724692).

Almost surely, 222301002320 is an apocalyptic number.

22301002320 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 22301002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35817975360).

22301002320 is an abundant number, since it is smaller than the sum of its proper divisors (49334948400).

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

22301002320 is a wasteful number, since it uses less digits than its factorization.

22301002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22301002320 its reverse (2320010322), we get a palindrome (24621012642).

The spelling of 22301002320 in words is "twenty-two billion, three hundred one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 691 696 870 1160 1382 1392 1740 2073 2320 2764 3455 3480 4146 4637 5528 6910 6960 8292 9274 10365 11056 13820 13911 16584 18548 20039 20730 23185 27640 27822 33168 37096 40078 41460 46370 55280 55644 60117 69555 74192 80156 82920 92740 100195 111288 120234 134473 139110 160312 165840 185480 200390 222576 240468 268946 278220 300585 320624 370960 400780 403419 480936 537892 556440 601170 672365 801560 806838 961872 1075784 1112880 1202340 1344730 1603120 1613676 2017095 2151568 2404680 2689460 3204167 3227352 4034190 4809360 5378920 6408334 6454704 8068380 9612501 10757840 12816668 16020835 16136760 19225002 25633336 32041670 32273520 38450004 48062505 51266672 64083340 76900008 92920843 96125010 128166680 153800016 185841686 192250020 256333360 278762529 371683372 384500040 464604215 557525058 743366744 769000080 929208430 1115050116 1393812645 1486733488 1858416860 2230100232 2787625290 3716833720 4460200464 5575250580 7433667440 11150501160 22301002320