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201966660 = 223257792029
BaseRepresentation
bin11000000100111…
…00010001000100
3112002000222011200
430002130101010
5403200413120
632012502500
75001455040
oct1402342104
9462028150
10201966660
11a40065a5
125777aa30
1332ac54cc
141cb75020
1512ae6e90
hexc09c444

201966660 has 144 divisors (see below), whose sum is σ = 709363200. Its totient is φ = 45556992.

The previous prime is 201966659. The next prime is 201966689. The reversal of 201966660 is 66669102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 98526 + ... + 100554.

Almost surely, 2201966660 is an apocalyptic number.

201966660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201966660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354681600).

201966660 is an abundant number, since it is smaller than the sum of its proper divisors (507396540).

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

201966660 is a wasteful number, since it uses less digits than its factorization.

201966660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 201966660 is about 14211.4974580443. The cubic root of 201966660 is about 586.7141483321.

The spelling of 201966660 in words is "two hundred one million, nine hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 79 84 90 105 126 140 158 180 210 237 252 315 316 395 420 474 553 630 711 790 948 1106 1185 1260 1422 1580 1659 2029 2212 2370 2765 2844 3318 3555 4058 4740 4977 5530 6087 6636 7110 8116 8295 9954 10145 11060 12174 14203 14220 16590 18261 19908 20290 24348 24885 28406 30435 33180 36522 40580 42609 49770 56812 60870 71015 73044 85218 91305 99540 121740 127827 142030 160291 170436 182610 213045 255654 284060 320582 365220 426090 480873 511308 639135 641164 801455 852180 961746 1122037 1278270 1442619 1602910 1923492 2244074 2404365 2556540 2885238 3205820 3366111 4488148 4808730 5610185 5770476 6732222 7213095 9617460 10098333 11220370 13464444 14426190 16830555 20196666 22440740 28852380 33661110 40393332 50491665 67322220 100983330 201966660