Search a number
-
+
610109226 = 233173112137
BaseRepresentation
bin100100010111011…
…000011100101010
31120112000202112000
4210113120130222
52222141443401
6140312431430
721055562046
oct4427303452
91515022460
10610109226
11293433101
121503a8576
139952809c
145b059026
1538868186
hex245d872a

610109226 has 64 divisors (see below), whose sum is σ = 1440840960. Its totient is φ = 190702080.

The previous prime is 610109219. The next prime is 610109263. The reversal of 610109226 is 622901016.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 610109226.

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, 284430 + ... + 286566.

It is an arithmetic number, because the mean of its divisors is an integer number (22513140).

Almost surely, 2610109226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610109226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720420480).

610109226 is an abundant number, since it is smaller than the sum of its proper divisors (830731734).

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

610109226 is a wasteful number, since it uses less digits than its factorization.

610109226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2470 counting only the distinct ones).

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

The square root of 610109226 is about 24700.3891872173. The cubic root of 610109226 is about 848.1432253706.

The spelling of 610109226 in words is "six hundred ten million, one hundred nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 311 459 622 918 933 1866 2137 2799 4274 5287 5598 6411 8397 10574 12822 15861 16794 19233 31722 36329 38466 47583 57699 72658 95166 108987 115398 142749 217974 285498 326961 653922 664607 980883 1329214 1961766 1993821 3987642 5981463 11298319 11962926 17944389 22596638 33894957 35888778 67789914 101684871 203369742 305054613 610109226