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220022212121904 = 24322793887215077
BaseRepresentation
bin110010000001101111101001…
…110010111101010100110000
31001212000220210021010021020210
4302001233221302331110300
5212314320442300400104
62055540450414304120
764226036345300343
oct6201575162752460
91055026707107223
10220022212121904
1164118994859325
12208159417b8040
1395a000c3344ca
143c491bbc7c45a
151a68438ea4989
hexc81be9cbd530

220022212121904 has 80 divisors (see below), whose sum is σ = 570903373559808. Its totient is φ = 73016533214976.

The previous prime is 220022212121903. The next prime is 220022212121923. The reversal of 220022212121904 is 409121212220022.

220022212121904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2200222121219042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220022212121903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022885214 + ... + 1023100290.

Almost surely, 2220022212121904 is an apocalyptic number.

220022212121904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220022212121904 is an abundant number, since it is smaller than the sum of its proper divisors (350881161437904).

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

220022212121904 is a wasteful number, since it uses less digits than its factorization.

220022212121904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309202 (or 309196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 220022212121904 its reverse (409121212220022), we get a palindrome (629143424341926).

The spelling of 220022212121904 in words is "two hundred twenty trillion, twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 681 908 1362 1816 2724 3632 5448 10896 93887 187774 215077 281661 375548 430154 563322 645231 751096 860308 1126644 1290462 1502192 1720616 2253288 2580924 3441232 4506576 5161848 10323696 21312349 42624698 48822479 63937047 85249396 97644958 127874094 146467437 170498792 195289916 255748188 292934874 340997584 390579832 511496376 585869748 781159664 1022992752 1171739496 2343478992 20192934299 40385868598 60578802897 80771737196 121157605794 161543474392 242315211588 323086948784 484630423176 969260846352 4583796085873 9167592171746 13751388257619 18335184343492 27502776515238 36670368686984 55005553030476 73340737373968 110011106060952 220022212121904