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22144011200 = 2652103134369
BaseRepresentation
bin10100100111111000…
…101100101111000000
32010011020212022200222
4110213320230233000
5330322331324300
614101155002212
71412514663263
oct244770545700
963136768628
1022144011200
119433798403
12435bb99368
13211b93500c
141100d4acda
158990c8785
hex527e2cbc0

22144011200 has 84 divisors (see below), whose sum is σ = 55017527760. Its totient is φ = 8771543040.

The previous prime is 22144011167. The next prime is 22144011203. The reversal of 22144011200 is 211044122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144011203) 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 11 ways as a sum of consecutive naturals, for example, 97616 + ... + 231984.

Almost surely, 222144011200 is an apocalyptic number.

22144011200 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 22144011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27508763880).

22144011200 is an abundant number, since it is smaller than the sum of its proper divisors (32873516560).

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

22144011200 is a wasteful number, since it uses less digits than its factorization.

22144011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134494 (or 134479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22144011200 its reverse (211044122), we get a palindrome (22355055322).

The spelling of 22144011200 in words is "twenty-two billion, one hundred forty-four million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 160 200 206 320 400 412 515 800 824 1030 1600 1648 2060 2575 3296 4120 5150 6592 8240 10300 16480 20600 32960 41200 82400 134369 164800 268738 537476 671845 1074952 1343690 2149904 2687380 3359225 4299808 5374760 6718450 8599616 10749520 13436900 13840007 21499040 26873800 27680014 42998080 53747600 55360028 69200035 107495200 110720056 138400070 214990400 221440112 276800140 346000175 442880224 553600280 692000350 885760448 1107200560 1384000700 2214401120 2768001400 4428802240 5536002800 11072005600 22144011200