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10222644217 = 29107137139173
BaseRepresentation
bin10011000010101000…
…10010101111111001
3222101102201010120111
421201110102233321
5131413444103332
64410214424321
7511220020312
oct114124225771
928342633514
1010222644217
1143764639a5
121b936620a1
13c6bb72606
146cd95b609
153ec6db947
hex261512bf9

10222644217 has 32 divisors (see below), whose sum is σ = 10891843200. Its totient is φ = 9580988928.

The previous prime is 10222644203. The next prime is 10222644247. The reversal of 10222644217 is 71244622201.

10222644217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10222644217 - 215 = 10222611449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222644247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59090343 + ... + 59090515.

It is an arithmetic number, because the mean of its divisors is an integer number (340370100).

Almost surely, 210222644217 is an apocalyptic number.

It is an amenable number.

10222644217 is a deficient number, since it is larger than the sum of its proper divisors (669198983).

10222644217 is a wasteful number, since it uses less digits than its factorization.

10222644217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 10222644217 in words is "ten billion, two hundred twenty-two million, six hundred forty-four thousand, two hundred seventeen".

Divisors: 1 29 107 137 139 173 3103 3973 4031 5017 14659 14873 18511 19043 23701 24047 425111 431317 536819 552247 687329 697363 2037601 2536007 2573029 3294439 59090429 73544203 74617841 95538731 352504973 10222644217