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225252151033 = 71333710696871
BaseRepresentation
bin1101000111001000010…
…0110000111011111001
3210112102012122212111111
43101302010300323321
512142304022313113
6251251315200321
722162646456410
oct3216204607371
9715365585444
10225252151033
118758aa70008
12377a45a60a1
1318319b6c190
14ac8bb44477
155cd535313d
hex3472130ef9

225252151033 has 32 divisors (see below), whose sum is σ = 278356682240. Its totient is φ = 177500574720.

The previous prime is 225252151013. The next prime is 225252151099. The reversal of 225252151033 is 330151252522.

225252151033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-225252151033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225252150986 and 225252151004.

It is not an unprimeable number, because it can be changed into a prime (225252151013) 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 31 ways as a sum of consecutive naturals, for example, 32779588 + ... + 32786458.

It is an arithmetic number, because the mean of its divisors is an integer number (8698646320).

Almost surely, 2225252151033 is an apocalyptic number.

It is an amenable number.

225252151033 is a deficient number, since it is larger than the sum of its proper divisors (53104531207).

225252151033 is a wasteful number, since it uses less digits than its factorization.

225252151033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297.

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 225252151033 in words is "two hundred twenty-five billion, two hundred fifty-two million, one hundred fifty-one thousand, thirty-three".

Divisors: 1 7 13 91 337 1069 2359 4381 6871 7483 13897 30667 48097 89323 97279 360253 625261 2315527 2521771 4683289 7345099 16208689 30101851 32783023 51415693 95486287 210712957 668404009 2475298363 17327088541 32178878719 225252151033