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816606225 = 335219411553
BaseRepresentation
bin110000101011000…
…110110000010001
32002220120220011000
4300223012300101
53133022344400
6213010412213
726144016111
oct6053066021
92086526130
10816606225
11389a53386
121a9591069
13100248666
147a64d041
154ba57600
hex30ac6c11

816606225 has 96 divisors (see below), whose sum is σ = 1618646400. Its totient is φ = 402278400.

The previous prime is 816606223. The next prime is 816606227. The reversal of 816606225 is 522606618.

It is an interprime number because it is at equal distance from previous prime (816606223) and next prime (816606227).

It is not a de Polignac number, because 816606225 - 21 = 816606223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 816606225.

It is not an unprimeable number, because it can be changed into a prime (816606221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525049 + ... + 526601.

It is an arithmetic number, because the mean of its divisors is an integer number (16860900).

Almost surely, 2816606225 is an apocalyptic number.

It is an amenable number.

816606225 is a deficient number, since it is larger than the sum of its proper divisors (802040175).

816606225 is a wasteful number, since it uses less digits than its factorization.

816606225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 816606225 is about 28576.3228040278. The cubic root of 816606225 is about 934.6971003552.

The spelling of 816606225 in words is "eight hundred sixteen million, six hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 41 45 57 75 95 123 135 171 205 225 285 369 475 513 615 675 779 855 1025 1107 1425 1553 1845 2337 2565 3075 3895 4275 4659 5535 7011 7765 9225 11685 12825 13977 19475 21033 23295 27675 29507 35055 38825 41931 58425 63673 69885 88521 105165 116475 147535 175275 191019 209655 265563 318365 349425 442605 525825 573057 737675 796689 955095 1048275 1209787 1327815 1591825 1719171 2213025 2865285 3629361 3983445 4775475 6048935 6639075 8595855 10888083 14326425 18146805 19917225 30244675 32664249 42979275 54440415 90734025 163321245 272202075 816606225