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22730611454220 = 22354149511866307
BaseRepresentation
bin1010010101100011000100…
…00001010111000100001100
32222111000200101122202020110
411022301202001113010030
510434404243013013340
6120202144310120020
74534142512305465
oct512614201270414
988430611582213
1022730611454220
117273aa864210a
122671417950010
13c8b644c56457
1458824b745d6c
1529641e576680
hex14ac6205710c

22730611454220 has 96 divisors (see below), whose sum is σ = 65211250116096. Its totient is φ = 5912457408000.

The previous prime is 22730611454209. The next prime is 22730611454311. The reversal of 22730611454220 is 2245411603722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11246307 + ... + 13112613.

It is an arithmetic number, because the mean of its divisors is an integer number (679283855376).

Almost surely, 222730611454220 is an apocalyptic number.

22730611454220 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 22730611454220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32605625058048).

22730611454220 is an abundant number, since it is smaller than the sum of its proper divisors (42480638661876).

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

22730611454220 is a wasteful number, since it uses less digits than its factorization.

22730611454220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871311 (or 1871309 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 22730611454220 in words is "twenty-two trillion, seven hundred thirty billion, six hundred eleven million, four hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4951 9902 14853 19804 24755 29706 49510 59412 74265 99020 148530 202991 297060 405982 608973 811964 1014955 1217946 1866307 2029910 2435892 3044865 3732614 4059820 5598921 6089730 7465228 9331535 11197842 12179460 18663070 22395684 27994605 37326140 55989210 76518587 111978420 153037174 229555761 306074348 382592935 459111522 765185870 918223044 1147778805 1530371740 2295557610 4591115220 9240085957 18480171914 27720257871 36960343828 46200429785 55440515742 92400859570 110881031484 138601289355 184801719140 277202578710 378843524237 554405157420 757687048474 1136530572711 1515374096948 1894217621185 2273061145422 3788435242370 4546122290844 5682652863555 7576870484740 11365305727110 22730611454220