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203172228 = 223272149773
BaseRepresentation
bin11000001110000…
…10100110000100
3112011022012220100
430013002212010
5404003002403
632054404100
75014635600
oct1407024604
9464265810
10203172228
11a475a336
1258060630
133312816c
141cdaa500
1512c842a3
hexc1c2984

203172228 has 108 divisors (see below), whose sum is σ = 602210700. Its totient is φ = 57585024.

The previous prime is 203172191. The next prime is 203172241. The reversal of 203172228 is 822271302.

It is a happy number.

203172228 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17994564 + 185177664 = 4242^2 + 13608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262450 + ... + 263222.

It is an arithmetic number, because the mean of its divisors is an integer number (5576025).

Almost surely, 2203172228 is an apocalyptic number.

203172228 is a gapful number since it is divisible by the number (28) 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 203172228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301105350).

203172228 is an abundant number, since it is smaller than the sum of its proper divisors (399038472).

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

203172228 is a wasteful number, since it uses less digits than its factorization.

203172228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 203172228 is about 14253.8495852875. The cubic root of 203172228 is about 587.8792268960.

The spelling of 203172228 in words is "two hundred three million, one hundred seventy-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 149 196 252 294 298 441 447 588 596 773 882 894 1043 1341 1546 1764 1788 2086 2319 2682 3092 3129 4172 4638 5364 5411 6258 6957 7301 9276 9387 10822 12516 13914 14602 16233 18774 21644 21903 27828 29204 32466 37548 37877 43806 48699 64932 65709 75754 87612 97398 113631 115177 131418 151508 194796 227262 230354 262836 340893 345531 454524 460708 681786 691062 806239 1036593 1363572 1382124 1612478 2073186 2418717 3224956 4146372 4837434 5643673 7256151 9674868 11287346 14512302 16931019 22574692 29024604 33862038 50793057 67724076 101586114 203172228