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221213231220 = 2235131272910313
BaseRepresentation
bin1100111000000101010…
…1100000100001110100
3210010222201201111002210
43032001111200201310
512111021041344340
6245342435133420
721660604304112
oct3160125404164
9703881644083
10221213231220
11858a8113853
1236a57a44270
1317b251717b7
14a9c757cab2
155b4a991180
hex3381560874

221213231220 has 96 divisors (see below), whose sum is σ = 624414510720. Its totient is φ = 58512762880.

The previous prime is 221213231047. The next prime is 221213231233. The reversal of 221213231220 is 22132312122.

221213231220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21444784 + ... + 21455096.

It is an arithmetic number, because the mean of its divisors is an integer number (6504317820).

Almost surely, 2221213231220 is an apocalyptic number.

221213231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221213231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312207255360).

221213231220 is an abundant number, since it is smaller than the sum of its proper divisors (403201279500).

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

221213231220 is a wasteful number, since it uses less digits than its factorization.

221213231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13185 (or 13183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221213231220 its reverse (22132312122), we get a palindrome (243345543342).

The spelling of 221213231220 in words is "two hundred twenty-one billion, two hundred thirteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 2729 3930 5458 7860 8187 10313 10916 13645 16374 20626 27290 30939 32748 40935 41252 51565 54580 61878 81870 103130 123756 154695 163740 206260 309390 357499 618780 714998 1072497 1351003 1429996 1787495 2144994 2702006 3574990 4053009 4289988 5362485 5404012 6755015 7149980 8106018 10724970 13510030 16212036 20265045 21449940 27020060 28144177 40530090 56288354 81060180 84432531 112576708 140720885 168865062 281441770 337730124 422162655 562883540 844325310 1688650620 3686887187 7373774374 11060661561 14747548748 18434435935 22121323122 36868871870 44242646244 55303307805 73737743740 110606615610 221213231220