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2270659318164 = 2232571547920161
BaseRepresentation
bin100001000010101101110…
…101111001000110010100
322001001222011002210211100
4201002231311321012110
5244200302241140124
64455043153310100
7323023024515066
oct41025565710624
98031864083740
102270659318164
117a5a87a975a6
1230809b265330
13136178795283
147bc86d71736
153e0e989b1c9
hex210add79194

2270659318164 has 72 divisors (see below), whose sum is σ = 5751108883520. Its totient is φ = 755385523200.

The previous prime is 2270659318153. The next prime is 2270659318171. The reversal of 2270659318164 is 4618139560722.

It is a happy number.

2270659318164 is a `hidden beast` number, since 2 + 27 + 0 + 6 + 593 + 18 + 16 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2270659318164.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 112616244 + ... + 112636404.

It is a 1-persistent number, because it is pandigital, but 2⋅2270659318164 = 4541318636328 is not.

Almost surely, 22270659318164 is an apocalyptic number.

It is an amenable number.

2270659318164 is an abundant number, since it is smaller than the sum of its proper divisors (3480449565356).

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

2270659318164 is a wasteful number, since it uses less digits than its factorization.

2270659318164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26221 (or 26216 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2270659318164 in words is "two trillion, two hundred seventy billion, six hundred fifty-nine million, three hundred eighteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 571 1142 1713 2284 3426 5139 5479 6852 10278 10958 16437 20161 20556 21916 32874 40322 49311 60483 65748 80644 98622 120966 181449 197244 241932 362898 725796 3128509 6257018 9385527 11511931 12514036 18771054 23023862 28156581 34535793 37542108 46047724 56313162 69071586 103607379 110462119 112626324 138143172 207214758 220924238 331386357 414429516 441848476 662772714 994159071 1325545428 1988318142 3976636284 63073869949 126147739898 189221609847 252295479796 378443219694 567664829541 756886439388 1135329659082 2270659318164