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16722369225 = 32523722332
BaseRepresentation
bin11111001001011101…
…10001101011001001
31121011102002101002100
433210232301223021
5233221411303400
611403202224013
71131252536022
oct174456615311
947142071070
1016722369225
117101383561
1232a8355009
131766628243
14b48c8dc49
1567d136100
hex3e4bb1ac9

16722369225 has 81 divisors (see below), whose sum is σ = 30915685983. Its totient is φ = 8640311040.

The previous prime is 16722369199. The next prime is 16722369227. The reversal of 16722369225 is 52296322761.

The square root of 16722369225 is 129315.

It is a perfect power (a square), and thus also a powerful number.

16722369225 is a `hidden beast` number, since 1 + 67 + 2 + 2 + 369 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8439913161 + 8282456064 = 91869^2 + 91008^2 .

It is not a de Polignac number, because 16722369225 - 229 = 16185498313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16722369227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71769709 + ... + 71769941.

Almost surely, 216722369225 is an apocalyptic number.

16722369225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16722369225 is the 129315-th square number.

16722369225 is the 64658-th centered octagonal number.

It is an amenable number.

16722369225 is a deficient number, since it is larger than the sum of its proper divisors (14193316758).

16722369225 is an equidigital number, since it uses as much as digits as its factorization.

16722369225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 16722369225 in words is "sixteen billion, seven hundred twenty-two million, three hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 233 333 555 699 925 1165 1369 1665 2097 2775 3495 4107 5825 6845 8325 8621 10485 12321 17475 20535 25863 34225 43105 52425 54289 61605 77589 102675 129315 162867 215525 271445 308025 318977 387945 488601 646575 814335 956931 1357225 1594885 1939725 2008693 2443005 2870793 4071675 4784655 6026079 7974425 10043465 12215025 14353965 18078237 23923275 30130395 50217325 71769825 74321641 90391185 150651975 222964923 371608205 451955925 668894769 1114824615 1858041025 3344473845 5574123075 16722369225