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216973759225 = 528819851249
BaseRepresentation
bin1100101000010010100…
…1001101001011111001
3202202001021101222211111
43022010221031023321
512023330240243400
6243402032400321
721450545344336
oct3120451151371
9682037358744
10216973759225
1184022037793
12360740a60a1
13175caa556a2
14a7044cd98d
15599d6b63ba
hex3284a4d2f9

216973759225 has 12 divisors (see below), whose sum is σ = 269352877500. Its totient is φ = 173381964800.

The previous prime is 216973759139. The next prime is 216973759229. The reversal of 216973759225 is 522957379612.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34245723136 + 182728036089 = 185056^2 + 427467^2 .

It is a de Polignac number, because none of the positive numbers 2k-216973759225 is a prime.

It is a super-2 number, since 2×2169737592252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216973759225.

It is not an unprimeable number, because it can be changed into a prime (216973759229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4903600 + ... + 4947649.

It is an arithmetic number, because the mean of its divisors is an integer number (22446073125).

Almost surely, 2216973759225 is an apocalyptic number.

216973759225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216973759225 is a deficient number, since it is larger than the sum of its proper divisors (52379118275).

216973759225 is an equidigital number, since it uses as much as digits as its factorization.

216973759225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852140 (or 9852135 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 58.

The spelling of 216973759225 in words is "two hundred sixteen billion, nine hundred seventy-three million, seven hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 881 4405 22025 9851249 49256245 246281225 8678950369 43394751845 216973759225