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22153434200 = 23527111811321
BaseRepresentation
bin10100101000011100…
…101001010001011000
32010011220121001121222
4110220130221101120
5330332234343300
614102132551212
71412661040502
oct245034512130
963156531558
1022153434200
119439044007
124363182508
132120884061
1411022c0d72
15899d3a785
hex528729458

22153434200 has 96 divisors (see below), whose sum is σ = 52315981920. Its totient is φ = 8722560000.

The previous prime is 22153434139. The next prime is 22153434203. The reversal of 22153434200 is 243435122.

It is a self number, because there is not a number n which added to its sum of digits gives 22153434200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22153434203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16769540 + ... + 16770860.

It is an arithmetic number, because the mean of its divisors is an integer number (544958145).

Almost surely, 222153434200 is an apocalyptic number.

22153434200 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 22153434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26157990960).

22153434200 is an abundant number, since it is smaller than the sum of its proper divisors (30162547720).

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

22153434200 is a wasteful number, since it uses less digits than its factorization.

22153434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 22153434200 its reverse (243435122), we get a palindrome (22396869322).

The spelling of 22153434200 in words is "twenty-two billion, one hundred fifty-three million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1181 1321 1420 1775 2362 2642 2840 3550 4724 5284 5905 6605 7100 9448 10568 11810 13210 14200 23620 26420 29525 33025 47240 52840 59050 66050 83851 93791 118100 132100 167702 187582 236200 264200 335404 375164 419255 468955 670808 750328 838510 937910 1560101 1677020 1875820 2096275 2344775 3120202 3354040 3751640 4192550 4689550 6240404 7800505 8385100 9379100 12480808 15601010 16770200 18758200 31202020 39002525 62404040 78005050 110767171 156010100 221534342 312020200 443068684 553835855 886137368 1107671710 2215343420 2769179275 4430686840 5538358550 11076717100 22153434200