Search a number
-
+
73072230 = 23572114519
BaseRepresentation
bin1000101101011…
…11111001100110
312002111110020220
410112233321212
5122201302410
611130105210
71545050400
oct426577146
9162443226
1073072230
113827a280
122057b206
13121a600a
1499c1b70
156636070
hex45afe66

73072230 has 96 divisors (see below), whose sum is σ = 222600960. Its totient is φ = 15180480.

The previous prime is 73072229. The next prime is 73072231. The reversal of 73072230 is 3227037.

It is an interprime number because it is at equal distance from previous prime (73072229) and next prime (73072231).

It is a self number, because there is not a number n which added to its sum of digits gives 73072230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73072231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13911 + ... + 18429.

It is an arithmetic number, because the mean of its divisors is an integer number (2318760).

Almost surely, 273072230 is an apocalyptic number.

73072230 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73072230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111300480).

73072230 is an abundant number, since it is smaller than the sum of its proper divisors (149528730).

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

73072230 is a wasteful number, since it uses less digits than its factorization.

73072230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 73072230 is about 8548.2296412766. The cubic root of 73072230 is about 418.0717160590.

Adding to 73072230 its reverse (3227037), we get a palindrome (76299267).

The spelling of 73072230 in words is "seventy-three million, seventy-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 4519 5390 8085 9038 13557 16170 22595 27114 31633 45190 49709 63266 67785 94899 99418 135570 149127 158165 189798 221431 248545 298254 316330 347963 442862 474495 497090 664293 695926 745635 948990 1043889 1107155 1328586 1491270 1739815 2087778 2214310 2435741 3321465 3479630 4871482 5219445 6642930 7307223 10438890 12178705 14614446 24357410 36536115 73072230