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2972796225 = 352741167827
BaseRepresentation
bin1011000100110001…
…0100010101000001
321200011211200202220
42301030110111001
522042013434400
61210553201253
7133445231250
oct26114242501
97604750686
102972796225
11129607a893
126ab700229
13384b7b229
14202b64797
15125ebd7a0
hexb1314541

2972796225 has 96 divisors (see below), whose sum is σ = 5795629056. Its totient is φ = 1316313600.

The previous prime is 2972796217. The next prime is 2972796241. The reversal of 2972796225 is 5226972792.

It is not a de Polignac number, because 2972796225 - 23 = 2972796217 is a prime.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3594262 + ... + 3595088.

It is an arithmetic number, because the mean of its divisors is an integer number (60371136).

Almost surely, 22972796225 is an apocalyptic number.

2972796225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2972796225 is a deficient number, since it is larger than the sum of its proper divisors (2822832831).

2972796225 is a wasteful number, since it uses less digits than its factorization.

2972796225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1050 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 2972796225 is about 54523.3548582623. The cubic root of 2972796225 is about 1437.8769229616.

The spelling of 2972796225 in words is "two billion, nine hundred seventy-two million, seven hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 41 75 105 123 167 175 205 287 501 525 615 827 835 861 1025 1169 1435 2481 2505 3075 3507 4135 4175 4305 5789 5845 6847 7175 12405 12525 17367 17535 20541 20675 21525 28945 29225 33907 34235 47929 62025 86835 87675 101721 102705 138109 143787 144725 169535 171175 237349 239645 414327 434175 508605 513525 690545 712047 718935 847675 966763 1186745 1198225 2071635 2543025 2900289 3452725 3560235 3594675 4833815 5662469 5933725 10358175 14501445 16987407 17801175 24169075 28312345 39637283 72507225 84937035 118911849 141561725 198186415 424685175 594559245 990932075 2972796225