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220213231321032 = 233219337147752769
BaseRepresentation
bin110010000100100001100011…
…011011010111111111001000
31001212201011211201102222222200
4302010201203123113333020
5212330433144204233112
62100204321210520200
764245611105555415
oct6204414333277710
91055634751388880
10220213231321032
11641919a8151944
1220846971736060
1395b5031b66111
143c5453d30510c
151a6d3b8c90cdc
hexc848636d7fc8

220213231321032 has 96 divisors (see below), whose sum is σ = 627987127716000. Its totient is φ = 69520389765120.

The previous prime is 220213231320997. The next prime is 220213231321037. The reversal of 220213231321032 is 230123132312022.

220213231321032 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 132 + 313 + 210 + 3 + 2 = 666.

220213231321032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220213231320987 and 220213231321005.

It is not an unprimeable number, because it can be changed into a prime (220213231321037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19264857 + ... + 28487912.

It is an arithmetic number, because the mean of its divisors is an integer number (6541532580375).

Almost surely, 2220213231321032 is an apocalyptic number.

It is an amenable number.

220213231321032 is an abundant number, since it is smaller than the sum of its proper divisors (407773896394968).

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

220213231321032 is a wasteful number, since it uses less digits than its factorization.

220213231321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47756171 (or 47756164 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 220213231321032 its reverse (230123132312022), we get a palindrome (450336363633054).

The spelling of 220213231321032 in words is "two hundred twenty trillion, two hundred thirteen billion, two hundred thirty-one million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 3371 6742 10113 13484 20226 26968 30339 40452 60678 64049 80904 121356 128098 192147 242712 256196 384294 512392 576441 768588 1152882 1537176 2305764 4611528 47752769 95505538 143258307 191011076 286516614 382022152 429774921 573033228 859549842 907302611 1146066456 1719099684 1814605222 2721907833 3438199368 3629210444 5443815666 7258420888 8165723499 10887631332 16331446998 21775262664 32662893996 65325787992 160974584299 321949168598 482923752897 643898337196 965847505794 1287796674392 1448771258691 1931695011588 2897542517382 3058517101681 3863390023176 5795085034764 6117034203362 9175551305043 11590170069528 12234068406724 18351102610086 24468136813448 27526653915129 36702205220172 55053307830258 73404410440344 110106615660516 220213231321032