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225235877632 = 283159481043
BaseRepresentation
bin1101000111000100011…
…0101011111100000000
3210112101002001002120221
43101301012223330000
512142240341041012
6251245534312424
722162361241163
oct3216106537400
9715332032527
10225235877632
1187581865617
123779b058714
131831669204c
14ac89909ada
155cd3bdb507
hex34711abf00

225235877632 has 72 divisors (see below), whose sum is σ = 471961889280. Its totient is φ = 107137674240.

The previous prime is 225235877627. The next prime is 225235877651. The reversal of 225235877632 is 236778532522.

It is a self number, because there is not a number n which added to its sum of digits gives 225235877632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227703 + ... + 708745.

It is an arithmetic number, because the mean of its divisors is an integer number (6555026240).

Almost surely, 2225235877632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225235877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235980944640).

225235877632 is an abundant number, since it is smaller than the sum of its proper divisors (246726011648).

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

225235877632 is an equidigital number, since it uses as much as digits as its factorization.

225235877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481149 (or 481135 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 52.

The spelling of 225235877632 in words is "two hundred twenty-five billion, two hundred thirty-five million, eight hundred seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 236 248 256 472 496 944 992 1829 1888 1984 3658 3776 3968 7316 7552 7936 14632 15104 29264 58528 117056 234112 468224 481043 962086 1924172 3848344 7696688 14912333 15393376 28381537 29824666 30786752 56763074 59649332 61573504 113526148 119298664 123147008 227052296 238597328 454104592 477194656 879827647 908209184 954389312 1759655294 1816418368 1908778624 3519310588 3632836736 3817557248 7038621176 7265673472 14077242352 28154484704 56308969408 112617938816 225235877632