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225655610224 = 24112355744963
BaseRepresentation
bin1101001000101000011…
…1110101101101110000
3210120110022211201110111
43102022013311231300
512144120314011344
6251355330511104
722205646016312
oct3221207655560
9716408751414
10225655610224
1187777788960
1237897735494
1318382622125
14acc95697b2
155d0a99b834
hex348a1f5b70

225655610224 has 40 divisors (see below), whose sum is σ = 497691038592. Its totient is φ = 98111133120.

The previous prime is 225655610221. The next prime is 225655610269. The reversal of 225655610224 is 422016556522.

225655610224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225655610221) 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 7 ways as a sum of consecutive naturals, for example, 27868434 + ... + 27876529.

Almost surely, 2225655610224 is an apocalyptic number.

It is an amenable number.

225655610224 is an abundant number, since it is smaller than the sum of its proper divisors (272035428368).

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

225655610224 is a wasteful number, since it uses less digits than its factorization.

225655610224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55745005 (or 55744999 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 225655610224 in words is "two hundred twenty-five billion, six hundred fifty-five million, six hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 55744963 111489926 222979852 445959704 613194593 891919408 1226389186 1282134149 2452778372 2564268298 4905556744 5128536596 9811113488 10257073192 14103475639 20514146384 28206951278 56413902556 112827805112 225655610224