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21972500 = 2254111747
BaseRepresentation
bin101001111010…
…0011000010100
31112100022121022
41103310120110
521111110000
62102540312
7354522524
oct123643024
945308538
1021972500
11114482a0
127437698
1347241a4
142cbd684
151de0585
hex14f4614

21972500 has 120 divisors (see below), whose sum is σ = 56681856. Its totient is φ = 7360000.

The previous prime is 21972497. The next prime is 21972529. The reversal of 21972500 is 527912.

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 21972500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 467477 + ... + 467523.

Almost surely, 221972500 is an apocalyptic number.

21972500 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 21972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28340928).

21972500 is an abundant number, since it is smaller than the sum of its proper divisors (34709356).

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

21972500 is a wasteful number, since it uses less digits than its factorization.

21972500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 21972500 is about 4687.4833333037. The cubic root of 21972500 is about 280.0871327464.

The spelling of 21972500 in words is "twenty-one million, nine hundred seventy-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 47 50 55 68 85 94 100 110 125 170 187 188 220 235 250 275 340 374 425 470 500 517 550 625 748 799 850 935 940 1034 1100 1175 1250 1375 1598 1700 1870 2068 2125 2350 2500 2585 2750 3196 3740 3995 4250 4675 4700 5170 5500 5875 6875 7990 8500 8789 9350 10340 10625 11750 12925 13750 15980 17578 18700 19975 21250 23375 23500 25850 27500 29375 35156 39950 42500 43945 46750 51700 58750 64625 79900 87890 93500 99875 116875 117500 129250 175780 199750 219725 233750 258500 323125 399500 439450 467500 499375 646250 878900 998750 1098625 1292500 1997500 2197250 4394500 5493125 10986250 21972500