Search a number
-
+
225291510 = 23353112683
BaseRepresentation
bin11010110110110…
…10110011110110
3120200220222212000
431123122303312
5430133312020
634204440130
75403642363
oct1533326366
9520828760
10225291510
11106197934
1263549046
13378a10b2
1421cc746a
1514ba3090
hexd6dacf6

225291510 has 64 divisors (see below), whose sum is σ = 602933760. Its totient is φ = 59862240.

The previous prime is 225291503. The next prime is 225291533. The reversal of 225291510 is 15192522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82629 + ... + 85311.

It is an arithmetic number, because the mean of its divisors is an integer number (9420840).

Almost surely, 2225291510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225291510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301466880).

225291510 is an abundant number, since it is smaller than the sum of its proper divisors (377642250).

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

225291510 is a wasteful number, since it uses less digits than its factorization.

225291510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 225291510 is about 15009.7138547009. The cubic root of 225291510 is about 608.4827562307.

The spelling of 225291510 in words is "two hundred twenty-five million, two hundred ninety-one thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 311 622 933 1555 1866 2683 2799 3110 4665 5366 5598 8049 8397 9330 13415 13995 16098 16794 24147 26830 27990 40245 41985 48294 72441 80490 83970 120735 144882 241470 362205 724410 834413 1668826 2503239 4172065 5006478 7509717 8344130 12516195 15019434 22529151 25032390 37548585 45058302 75097170 112645755 225291510