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228143322 = 232112312109
BaseRepresentation
bin11011001100100…
…11000011011010
3120220021212210200
431212103003122
5431401041242
634345523030
75440120611
oct1546230332
9526255720
10228143322
11107865500
12644a3476
133835c164
142242a878
151506804c
hexd9930da

228143322 has 108 divisors (see below), whose sum is σ = 566576010. Its totient is φ = 66290400.

The previous prime is 228143297. The next prime is 228143327. The reversal of 228143322 is 223341822.

228143322 is a `hidden beast` number, since 228 + 1 + 433 + 2 + 2 = 666.

228143322 is digitally balanced in base 2, 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 only one way, i.e., 176863401 + 51279921 = 13299^2 + 7161^2 .

It is not an unprimeable number, because it can be changed into a prime (228143327) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2093004 + ... + 2093112.

Almost surely, 2228143322 is an apocalyptic number.

228143322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 228143322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283288005).

228143322 is an abundant number, since it is smaller than the sum of its proper divisors (338432688).

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

228143322 is a wasteful number, since it uses less digits than its factorization.

228143322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 156 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 228143322 is about 15104.4139906188. The cubic root of 228143322 is about 611.0394550057.

The spelling of 228143322 in words is "two hundred twenty-eight million, one hundred forty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 109 121 186 198 218 242 279 327 341 363 558 654 682 726 961 981 1023 1089 1199 1922 1962 2046 2178 2398 2883 3069 3379 3597 3751 5766 6138 6758 7194 7502 8649 10137 10571 10791 11253 13189 17298 20274 21142 21582 22506 26378 30411 31713 33759 37169 39567 60822 63426 67518 74338 79134 95139 104749 111507 116281 118701 190278 209498 223014 232562 237402 314247 334521 348843 408859 628494 669042 697686 817718 942741 1046529 1152239 1226577 1885482 2093058 2304478 2453154 3456717 3679731 6913434 7359462 10370151 12674629 20740302 25349258 38023887 76047774 114071661 228143322