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30225014362620 = 223257112180736967
BaseRepresentation
bin1101101111101010011110…
…01111101001000111111100
310222000111001012220201121100
412313311033033221013330
512430201312134100440
6144141102505533100
76236454014044140
oct667651717510774
9128014035821540
1030225014362620
1196a33a1709110
1234819881a4190
1313b328bc5310c
14766c816b3220
1537634e30b230
hex1b7d4f3e91fc

30225014362620 has 144 divisors (see below), whose sum is σ = 114305508914688. Its totient is φ = 6280522462080.

The previous prime is 30225014362607. The next prime is 30225014362667. The reversal of 30225014362620 is 2626341052203.

30225014362620 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 5 + 0 + 1 + 4 + 3 + 626 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090354624 + ... + 1090382343.

It is an arithmetic number, because the mean of its divisors is an integer number (793788256352).

Almost surely, 230225014362620 is an apocalyptic number.

30225014362620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30225014362620 is an abundant number, since it is smaller than the sum of its proper divisors (84080494552068).

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

30225014362620 is a wasteful number, since it uses less digits than its factorization.

30225014362620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180737000 (or 2180736995 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 30225014362620 in words is "thirty trillion, two hundred twenty-five billion, fourteen million, three hundred sixty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 2180736967 4361473934 6542210901 8722947868 10903684835 13084421802 15265158769 19626632703 21807369670 23988106637 26168843604 30530317538 32711054505 39253265406 43614739340 45795476307 47976213274 61060635076 65422109010 71964319911 76325793845 78506530812 91590952614 95952426548 98133163515 119940533185 130844218020 137386428921 143928639822 152651587690 167916746459 183181905228 196266327030 215892959733 228977381535 239881066370 274772857842 287857279644 305303175380 335833492918 359821599555 392532654060 431785919466 457954763070 479762132740 503750239377 549545715684 671666985836 686932144605 719643199110 839583732295 863571838932 915909526140 1007500478754 1079464798665 1373864289210 1439286398220 1511250718131 1679167464590 2015000957508 2158929597330 2518751196885 2747728578420 3022501436262 3358334929180 4317859194660 5037502393770 6045002872524 7556253590655 10075004787540 15112507181310 30225014362620