Search a number
-
+
72229014 = 232112132551
BaseRepresentation
bin1000100111000…
…10000010010110
312000220121120200
410103202002112
5121442312024
611100041330
71534636134
oct423420226
9160817520
1072229014
1137853800
1220233246
1311c6c280
149842754
15651b2c9
hex44e2096

72229014 has 72 divisors (see below), whose sum is σ = 185321136. Its totient is φ = 20196000.

The previous prime is 72229009. The next prime is 72229021. The reversal of 72229014 is 41092227.

It is a Curzon number.

It is a congruent number.

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, 27039 + ... + 29589.

Almost surely, 272229014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72229014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92660568).

72229014 is an abundant number, since it is smaller than the sum of its proper divisors (113092122).

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

72229014 is a wasteful number, since it uses less digits than its factorization.

72229014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72229014 is about 8498.7654397565. The cubic root of 72229014 is about 416.4573795527.

The spelling of 72229014 in words is "seventy-two million, two hundred twenty-nine thousand, fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2551 2574 3146 4719 5102 7653 9438 14157 15306 22959 28061 28314 33163 45918 56122 66326 84183 99489 168366 198978 252549 298467 308671 364793 505098 596934 617342 729586 926013 1094379 1852026 2188758 2778039 3283137 4012723 5556078 6566274 8025446 12038169 24076338 36114507 72229014