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22034300304 = 243171911312577
BaseRepresentation
bin10100100001010110…
…001011110110010000
32002212121102102122110
4110201112023312100
5330111240102204
614042235305320
71410013314402
oct244126136620
962777372573
1022034300304
119387873a45
12432b2ab240
132101ca1423
1410d054cb72
1588e656889
hex52158bd90

22034300304 has 160 divisors (see below), whose sum is σ = 64008938880. Its totient is φ = 6490423296.

The previous prime is 22034300269. The next prime is 22034300317. The reversal of 22034300304 is 40300343022.

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, 1745664 + ... + 1758240.

It is an arithmetic number, because the mean of its divisors is an integer number (400055868).

Almost surely, 222034300304 is an apocalyptic number.

22034300304 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 22034300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32004469440).

22034300304 is an abundant number, since it is smaller than the sum of its proper divisors (41974638576).

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

22034300304 is a wasteful number, since it uses less digits than its factorization.

22034300304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12737 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 22034300304 its reverse (40300343022), we get a palindrome (62334643326).

The spelling of 22034300304 in words is "twenty-two billion, thirty-four million, three hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 113 114 136 152 204 226 228 272 304 323 339 408 452 456 646 678 816 904 912 969 1292 1356 1808 1921 1938 2147 2584 2712 3842 3876 4294 5168 5424 5763 6441 7684 7752 8588 11526 12577 12882 15368 15504 17176 23052 25154 25764 30736 34352 36499 37731 46104 50308 51528 72998 75462 92208 100616 103056 109497 145996 150924 201232 213809 218994 238963 291992 301848 427618 437988 477926 583984 603696 641427 716889 855236 875976 955852 1282854 1421201 1433778 1710472 1751952 1911704 2565708 2842402 2867556 3420944 3823408 4062371 4263603 5131416 5684804 5735112 8124742 8527206 10262832 11369608 11470224 12187113 16249484 17054412 22739216 24160417 24374226 27002819 32498968 34108824 48320834 48748452 54005638 64997936 68217648 72481251 81008457 96641668 97496904 108011276 144962502 162016914 193283336 194993808 216022552 289925004 324033828 386566672 432045104 459047923 579850008 648067656 918095846 1159700016 1296135312 1377143769 1836191692 2754287538 3672383384 5508575076 7344766768 11017150152 22034300304