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221222010420 = 223252295366861
BaseRepresentation
bin1100111000000111011…
…0111111111000110100
3210011000100020111220100
43032001312333320310
512111030313313140
6245343351234100
721661042030335
oct3160166777064
9704010214810
10221222010420
118590206a794
1236a5a978930
1317b26c267a8
14a9c87c628c
155b4b627530
hex3381dbfe34

221222010420 has 72 divisors (see below), whose sum is σ = 673970529960. Its totient is φ = 58734915840.

The previous prime is 221222010409. The next prime is 221222010437. The reversal of 221222010420 is 24010222122.

221222010420 is a `hidden beast` number, since 2 + 2 + 12 + 220 + 10 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36861696036 + 184360314384 = 191994^2 + 429372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221222010393 and 221222010402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642211 + ... + 2724650.

It is an arithmetic number, because the mean of its divisors is an integer number (9360701805).

Almost surely, 2221222010420 is an apocalyptic number.

221222010420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222010420 is an abundant number, since it is smaller than the sum of its proper divisors (452748519540).

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

221222010420 is a wasteful number, since it uses less digits than its factorization.

221222010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367105 (or 5367100 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221222010420 its reverse (24010222122), we get a palindrome (245232232542).

The spelling of 221222010420 in words is "two hundred twenty-one billion, two hundred twenty-two million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20610 41220 5366861 10733722 16100583 21467444 26834305 32201166 48301749 53668610 64402332 80502915 96603498 107337220 161005830 193206996 241508745 322011660 483017490 966034980 1229011169 2458022338 3687033507 4916044676 6145055845 7374067014 11061100521 12290111690 14748134028 18435167535 22122201042 24580223380 36870335070 44244402084 55305502605 73740670140 110611005210 221222010420