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206169964 = 2271121331151
BaseRepresentation
bin11000100100111…
…10011101101100
3112100221112000121
430102132131230
5410234414324
632242534324
75052262420
oct1422363554
9470845017
10206169964
11a6417600
12590673a4
1333937780
141d54ab80
15131775e4
hexc49e76c

206169964 has 144 divisors (see below), whose sum is σ = 507179008. Its totient is φ = 71280000.

The previous prime is 206169923. The next prime is 206169973. The reversal of 206169964 is 469961602.

It is a happy number.

It is a super-2 number, since 2×2061699642 = 85012108111522592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 206169964.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365289 + ... + 1365439.

Almost surely, 2206169964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206169964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253589504).

206169964 is an abundant number, since it is smaller than the sum of its proper divisors (301009044).

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

206169964 is a wasteful number, since it uses less digits than its factorization.

206169964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 206169964 is about 14358.6198501109. The cubic root of 206169964 is about 590.7564404571.

The spelling of 206169964 in words is "two hundred six million, one hundred sixty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 121 124 143 151 154 182 217 242 286 302 308 341 364 403 434 484 572 604 682 806 847 868 1001 1057 1364 1573 1612 1661 1694 1963 2002 2114 2387 2821 3146 3322 3388 3751 3926 4004 4228 4433 4681 4774 5642 6292 6644 7502 7852 8866 9362 9548 11011 11284 11627 13741 15004 17732 18271 18724 21593 22022 23254 26257 27482 31031 32767 36542 43186 44044 46508 48763 51491 52514 54964 60853 62062 65534 73084 86372 97526 102982 105028 121706 124124 127897 131068 151151 195052 205964 237523 243412 255794 302302 341341 360437 425971 475046 511588 566401 604604 669383 682682 720874 851942 950092 1132802 1338766 1365364 1441748 1662661 1703884 2265604 2677532 3325322 3964807 4685681 6650644 7363213 7929614 9371362 14726426 15859228 18742724 29452852 51542491 103084982 206169964