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22140198200 = 23521722329201
BaseRepresentation
bin10100100111101010…
…001001110100111000
32010010222200121020202
4110213222021310320
5330320342320300
614100541141332
71412440402541
oct244752116470
963128617222
1022140198200
11943162366a
12435a85a848
13211abcb5c3
1411006374c8
15898ac3ad5
hex527a89d38

22140198200 has 96 divisors (see below), whose sum is σ = 54750245760. Its totient is φ = 8297472000.

The previous prime is 22140198193. The next prime is 22140198239. The reversal of 22140198200 is 289104122.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 743600 + ... + 772800.

It is an arithmetic number, because the mean of its divisors is an integer number (570315060).

Almost surely, 222140198200 is an apocalyptic number.

22140198200 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 22140198200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27375122880).

22140198200 is an abundant number, since it is smaller than the sum of its proper divisors (32610047560).

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

22140198200 is a wasteful number, since it uses less digits than its factorization.

22140198200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29457 (or 29448 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 22140198200 in words is "twenty-two billion, one hundred forty million, one hundred ninety-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 223 340 425 446 680 850 892 1115 1700 1784 2230 3400 3791 4460 5575 7582 8920 11150 15164 18955 22300 29201 30328 37910 44600 58402 75820 94775 116804 146005 151640 189550 233608 292010 379100 496417 584020 730025 758200 992834 1168040 1460050 1985668 2482085 2920100 3971336 4964170 5840200 6511823 9928340 12410425 13023646 19856680 24820850 26047292 32559115 49641700 52094584 65118230 99283400 110700991 130236460 162795575 221401982 260472920 325591150 442803964 553504955 651182300 885607928 1107009910 1302364600 2214019820 2767524775 4428039640 5535049550 11070099100 22140198200