Search a number
-
+
90226555186920 = 23351773605872651
BaseRepresentation
bin10100100000111110000001…
…110001010110111011101000
3102211110120111202122020011020
4110200332001301112323220
543311232441111440140
6515521301321332440
725001440102010655
oct2440760161267350
9384416452566136
1090226555186920
112682695a224329
12a152616937120
133b46434ab8659
14183cdba8d8c2c
15a66eee2be6d0
hex520f81c56ee8

90226555186920 has 128 divisors (see below), whose sum is σ = 290528054087040. Its totient is φ = 22334889369600.

The previous prime is 90226555186883. The next prime is 90226555186927. The reversal of 90226555186920 is 2968155562209.

It is a happy number.

It is a super-2 number, since 2×902265551869202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (90226555186927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302787406 + ... + 303085245.

It is an arithmetic number, because the mean of its divisors is an integer number (2269750422555).

Almost surely, 290226555186920 is an apocalyptic number.

It is an amenable number.

90226555186920 is an abundant number, since it is smaller than the sum of its proper divisors (200301498900120).

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

90226555186920 is a wasteful number, since it uses less digits than its factorization.

90226555186920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605872755 (or 605872751 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 60.

The spelling of 90226555186920 in words is "ninety trillion, two hundred twenty-six billion, five hundred fifty-five million, one hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 73 85 102 120 136 146 170 204 219 255 292 340 365 408 438 510 584 680 730 876 1020 1095 1241 1460 1752 2040 2190 2482 2920 3723 4380 4964 6205 7446 8760 9928 12410 14892 18615 24820 29784 37230 49640 74460 148920 605872651 1211745302 1817617953 2423490604 3029363255 3635235906 4846981208 6058726510 7270471812 9088089765 10299835067 12117453020 14540943624 18176179530 20599670134 24234906040 30899505201 36352359060 41199340268 44228703523 51499175335 61799010402 72704718120 82398680536 88457407046 102998350670 123598020804 132686110569 154497526005 176914814092 205996701340 221143517615 247196041608 265372221138 308995052010 353829628184 411993402680 442287035230 530744442276 617990104020 663430552845 751887959891 884574070460 1061488884552 1235980208040 1326861105690 1503775919782 1769148140920 2255663879673 2653722211380 3007551839564 3759439799455 4511327759346 5307444422760 6015103679128 7518879598910 9022655518692 11278319398365 15037759197820 18045311037384 22556638796730 30075518395640 45113277593460 90226555186920