Search a number
-
+
209192022 = 232132921063
BaseRepresentation
bin11000111100000…
…00010001010110
3112120122001111200
430132000101112
5412023121042
632431413330
75120050164
oct1436002126
9476561450
10209192022
11a80a1076
125a084246
1334455180
141dad6234
1513572c4c
hexc780456

209192022 has 72 divisors (see below), whose sum is σ = 506002224. Its totient is φ = 62088768.

The previous prime is 209192003. The next prime is 209192047. The reversal of 209192022 is 220291902.

It is a super-2 number, since 2×2091920222 = 87522604136896968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 196263 + ... + 197325.

Almost surely, 2209192022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209192022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253001112).

209192022 is an abundant number, since it is smaller than the sum of its proper divisors (296810202).

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

209192022 is a wasteful number, since it uses less digits than its factorization.

209192022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 209192022 is about 14463.4719898094. The cubic root of 209192022 is about 593.6289046930.

The spelling of 209192022 in words is "two hundred nine million, one hundred ninety-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 841 1063 1131 1682 2126 2262 2523 3189 3393 5046 6378 6786 7569 9567 10933 13819 15138 19134 21866 27638 30827 32799 41457 61654 65598 82914 92481 98397 124371 184962 196794 248742 277443 400751 554886 801502 893983 1202253 1787966 2404506 2681949 3606759 5363898 7213518 8045847 11621779 16091694 23243558 34865337 69730674 104596011 209192022