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16225661430 = 23251137442961
BaseRepresentation
bin11110001110001111…
…11111000111110110
31112212210110000002100
433013013333013312
5231212232131210
611242020122530
71113041563236
oct170707770766
945783400070
1016225661430
116976a65650
123189b36446
1316b77567c4
14adcd13cc6
1564e71d5c0
hex3c71ff1f6

16225661430 has 96 divisors (see below), whose sum is σ = 47265817248. Its totient is φ = 3827174400.

The previous prime is 16225661381. The next prime is 16225661513. The reversal of 16225661430 is 3416652261.

16225661430 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 5 + 6 + 614 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184851 + ... + 258110.

It is an arithmetic number, because the mean of its divisors is an integer number (492352263).

Almost surely, 216225661430 is an apocalyptic number.

16225661430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16225661430 is an abundant number, since it is smaller than the sum of its proper divisors (31040155818).

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

16225661430 is a wasteful number, since it uses less digits than its factorization.

16225661430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443022 (or 443019 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 162256614 and 30, that added together give a square (162256644 = 127382).

The spelling of 16225661430 in words is "sixteen billion, two hundred twenty-five million, six hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 442961 885922 1328883 2214805 2657766 3986649 4429610 4872571 6644415 7973298 9745142 13288830 14617713 16389557 19933245 24362855 29235426 32779114 39866490 43853139 48725710 49168671 73088565 81947785 87706278 98337342 146177130 147506013 163895570 180285127 219265695 245843355 295012026 360570254 438531390 491686710 540855381 737530065 901425635 1081710762 1475060130 1622566143 1802851270 2704276905 3245132286 5408553810 8112830715 16225661430