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22131232300 = 22521967173851
BaseRepresentation
bin10100100111000111…
…111100111000101100
32010010100211002100101
4110213013330320230
5330311043413200
614100021040444
71412301241102
oct244707747054
963110732311
1022131232300
11942755a431
124357856124
1321190ac638
1410dd381c72
15897e0226a
hex5271fce2c

22131232300 has 72 divisors (see below), whose sum is σ = 51307202240. Its totient is φ = 8261352000.

The previous prime is 22131232223. The next prime is 22131232337. The reversal of 22131232300 is 323213122.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40375 + ... + 214225.

Almost surely, 222131232300 is an apocalyptic number.

22131232300 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 22131232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25653601120).

22131232300 is an abundant number, since it is smaller than the sum of its proper divisors (29175969940).

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

22131232300 is a wasteful number, since it uses less digits than its factorization.

22131232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173951 (or 173944 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22131232300 its reverse (323213122), we get a palindrome (22454445422).

The spelling of 22131232300 in words is "twenty-two billion, one hundred thirty-one million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 134 190 268 335 380 475 670 950 1273 1340 1675 1900 2546 3350 5092 6365 6700 12730 25460 31825 63650 127300 173851 347702 695404 869255 1738510 3303169 3477020 4346275 6606338 8692550 11648017 13212676 16515845 17385100 23296034 33031690 46592068 58240085 66063380 82579225 116480170 165158450 221312323 232960340 291200425 330316900 442624646 582400850 885249292 1106561615 1164801700 2213123230 4426246460 5532808075 11065616150 22131232300