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21497257200 = 24352131136751
BaseRepresentation
bin10100000001010101…
…100001110011110000
32001111011212211000010
4110001111201303300
5323011244212300
613513052454520
71360502446146
oct240125416360
961434784003
1021497257200
119131706571
1241bb47a440
132047949643
14107d0b3596
1585c422a50
hex501561cf0

21497257200 has 120 divisors (see below), whose sum is σ = 69389058816. Its totient is φ = 5688800000.

The previous prime is 21497257183. The next prime is 21497257207. The reversal of 21497257200 is 275279412.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21497257207) 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, 88825 + ... + 225575.

Almost surely, 221497257200 is an apocalyptic number.

21497257200 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 21497257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34694529408).

21497257200 is an abundant number, since it is smaller than the sum of its proper divisors (47891801616).

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

21497257200 is a wasteful number, since it uses less digits than its factorization.

21497257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136903 (or 136892 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 21497257200 in words is "twenty-one billion, four hundred ninety-seven million, two hundred fifty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 131 150 200 240 262 300 393 400 524 600 655 786 1048 1200 1310 1572 1965 2096 2620 3144 3275 3930 5240 6288 6550 7860 9825 10480 13100 15720 19650 26200 31440 39300 52400 78600 136751 157200 273502 410253 547004 683755 820506 1094008 1367510 1641012 2051265 2188016 2735020 3282024 3418775 4102530 5470040 6564048 6837550 8205060 10256325 10940080 13675100 16410120 17914381 20512650 27350200 32820240 35828762 41025300 53743143 54700400 71657524 82050600 89571905 107486286 143315048 164101200 179143810 214972572 268715715 286630096 358287620 429945144 447859525 537431430 716575240 859890288 895719050 1074862860 1343578575 1433150480 1791438100 2149725720 2687157150 3582876200 4299451440 5374314300 7165752400 10748628600 21497257200