Search a number
-
+
189203274 = 23213237412
BaseRepresentation
bin10110100011100…
…00001101001010
3111012000112002200
423101300031022
5341414001044
630435141030
74455126021
oct1321601512
9435015080
10189203274
1197889247
1253444776
1330276c00
141b1b18b8
1511925369
hexb47034a

189203274 has 108 divisors (see below), whose sum is σ = 467287938. Its totient is φ = 55261440.

The previous prime is 189203249. The next prime is 189203281. The reversal of 189203274 is 472302981.

189203274 is a `hidden beast` number, since 189 + 203 + 274 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 20385225 + 168818049 = 4515^2 + 12993^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4614694 + ... + 4614734.

Almost surely, 2189203274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189203274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233643969).

189203274 is an abundant number, since it is smaller than the sum of its proper divisors (278084664).

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

189203274 is a wasteful number, since it uses less digits than its factorization.

189203274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 189203274 is about 13755.1181020012. The cubic root of 189203274 is about 574.0850214195.

The spelling of 189203274 in words is "one hundred eighty-nine million, two hundred three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 37 39 41 74 78 82 111 117 123 169 222 234 246 333 338 369 481 507 533 666 738 962 1014 1066 1443 1517 1521 1599 1681 2886 3034 3042 3198 3362 4329 4551 4797 5043 6253 6929 8658 9102 9594 10086 12506 13653 13858 15129 18759 19721 20787 21853 27306 30258 37518 39442 41574 43706 56277 59163 62197 62361 65559 112554 118326 124394 124722 131118 177489 186591 196677 256373 284089 354978 373182 393354 512746 559773 568178 769119 808561 852267 1119546 1538238 1617122 1704534 2307357 2425683 2556801 4614714 4851366 5113602 7277049 10511293 14554098 21022586 31533879 63067758 94601637 189203274