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201869148 = 2231341931
BaseRepresentation
bin11000000100001…
…00011101011100
3112001212000102010
430002010131130
5403134303043
632010431220
75000600535
oct1402043534
9461760363
10201869148
11a3a4a308
1257732510
1332a90000
141cb4b68c
1512ac8133
hexc08475c

201869148 has 120 divisors (see below), whose sum is σ = 554462720. Its totient is φ = 56946240.

The previous prime is 201869141. The next prime is 201869153. The reversal of 201869148 is 841968102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201869141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6511893 + ... + 6511923.

Almost surely, 2201869148 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 201869148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277231360).

201869148 is an abundant number, since it is smaller than the sum of its proper divisors (352593572).

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

201869148 is a wasteful number, since it uses less digits than its factorization.

201869148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 201869148 is about 14208.0663005210. The cubic root of 201869148 is about 586.6197088506.

The spelling of 201869148 in words is "two hundred one million, eight hundred sixty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 169 186 228 247 338 372 403 494 507 589 676 741 806 988 1014 1178 1209 1482 1612 1767 2028 2197 2356 2418 2964 3211 3534 4394 4836 5239 6422 6591 7068 7657 8788 9633 10478 12844 13182 15314 15717 19266 20956 22971 26364 28561 30628 31434 38532 41743 45942 57122 62868 68107 83486 85683 91884 99541 114244 125229 136214 166972 171366 199082 204321 250458 272428 298623 342732 398164 408642 500916 542659 597246 817284 885391 1085318 1194492 1294033 1627977 1770782 2170636 2588066 2656173 3255954 3541564 3882099 5176132 5312346 6511908 7764198 10624692 15528396 16822429 33644858 50467287 67289716 100934574 201869148