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12223203220 = 22543731131723
BaseRepresentation
bin10110110001000111…
…10100011110010100
31011112212010001121101
423120203310132110
5200013120000340
65340521355444
7611621340664
oct133043643624
934485101541
1012223203220
115202752548
122451638b84
1311ca484237
1483d5201a4
154b815ec9a
hex2d88f4794

12223203220 has 96 divisors (see below), whose sum is σ = 26876691072. Its totient is φ = 4665765888.

The previous prime is 12223203199. The next prime is 12223203221. The reversal of 12223203220 is 2230232221.

12223203220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223203221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7093279 + ... + 7095001.

It is an arithmetic number, because the mean of its divisors is an integer number (279965532).

Almost surely, 212223203220 is an apocalyptic number.

12223203220 is a gapful number since it is divisible by the number (10) 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 12223203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13438345536).

12223203220 is an abundant number, since it is smaller than the sum of its proper divisors (14653487852).

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

12223203220 is a wasteful number, since it uses less digits than its factorization.

12223203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 12223203220 its reverse (2230232221), we get a palindrome (14453435441).

The spelling of 12223203220 in words is "twelve billion, two hundred twenty-three million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 73 86 113 146 172 215 226 292 365 430 452 565 730 860 1130 1460 1723 2260 3139 3446 4859 6278 6892 8249 8615 9718 12556 15695 16498 17230 19436 24295 31390 32996 34460 41245 48590 62780 74089 82490 97180 125779 148178 164980 194699 251558 296356 354707 370445 389398 503116 628895 709414 740890 778796 973495 1257790 1418828 1481780 1773535 1946990 2515580 3547070 3893980 5408497 7094140 8372057 10816994 14213027 16744114 21633988 27042485 28426054 33488228 41860285 54084970 56852108 71065135 83720570 108169940 142130270 167441140 284260540 611160161 1222320322 2444640644 3055800805 6111601610 12223203220