Search a number
-
+
72230535 = 3551317269
BaseRepresentation
bin1000100111000…
…10011010000111
312000220200200000
410103202122013
5121442334120
611100052343
71534643436
oct423423207
9160820600
1072230535
1137854963
12202340b3
1311c6cb80
14984311d
15651b990
hex44e2687

72230535 has 96 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 33343488.

The previous prime is 72230447. The next prime is 72230537. The reversal of 72230535 is 53503227.

It is not a de Polignac number, because 72230535 - 214 = 72214151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72230499 and 72230508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72230537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268381 + ... + 268649.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 272230535 is an apocalyptic number.

72230535 is an abundant number, since it is smaller than the sum of its proper divisors (76368825).

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

72230535 is a wasteful number, since it uses less digits than its factorization.

72230535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 72230535 is about 8498.8549228705. The cubic root of 72230535 is about 416.4603027881.

The spelling of 72230535 in words is "seventy-two million, two hundred thirty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 243 255 269 351 405 459 585 663 765 807 1053 1105 1215 1345 1377 1755 1989 2295 2421 3159 3315 3497 4035 4131 4573 5265 5967 6885 7263 9945 10491 12105 13719 15795 17485 17901 20655 21789 22865 29835 31473 36315 41157 52455 53703 59449 65367 68595 89505 94419 108945 123471 157365 178347 205785 268515 283257 297245 326835 370413 472095 535041 617355 849771 891735 1111239 1416285 1605123 1852065 2675205 4248855 4815369 5556195 8025615 14446107 24076845 72230535