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220376117 = 131719311693
BaseRepresentation
bin11010010001010…
…10110000110101
3120100200021012102
431020222300311
5422404013432
633511231445
75314110653
oct1510526065
9510607172
10220376117
1110343a925
1261978585
133686c990
14213a7dd3
1514531962
hexd22ac35

220376117 has 32 divisors (see below), whose sum is σ = 273208320. Its totient is φ = 175426560.

The previous prime is 220376113. The next prime is 220376137. The reversal of 220376117 is 711673022.

It is a cyclic number.

It is not a de Polignac number, because 220376117 - 22 = 220376113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220376117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220376113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129323 + ... + 131015.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2220376117 is an apocalyptic number.

It is an amenable number.

220376117 is a deficient number, since it is larger than the sum of its proper divisors (52832203).

220376117 is a wasteful number, since it uses less digits than its factorization.

220376117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 220376117 is about 14845.0704612676. The cubic root of 220376117 is about 604.0249001108.

The spelling of 220376117 in words is "two hundred twenty million, three hundred seventy-six thousand, one hundred seventeen".

Divisors: 1 13 17 19 31 221 247 323 403 527 589 1693 4199 6851 7657 10013 22009 28781 32167 52483 130169 374153 418171 546839 682279 892211 997177 7108907 11598743 12963301 16952009 220376117