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428227832250 = 232531311452851
BaseRepresentation
bin1100011101101000101…
…11100010100110111010
31111221022221012211020100
412032310113202212322
524004002311113000
6524420344340230
742636612342021
oct6166427424672
91457287184210
10428227832250
111556794a1589
126abb0774676
13314c680976a
1416a250db8b8
15b214b65a00
hex63b45e29ba

428227832250 has 96 divisors (see below), whose sum is σ = 1166768006976. Its totient is φ = 113322300000.

The previous prime is 428227832243. The next prime is 428227832251. The reversal of 428227832250 is 52238722824.

428227832250 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 278 + 322 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 428227832196 and 428227832205.

It is not an unprimeable number, because it can be changed into a prime (428227832251) 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, 431676 + ... + 1021175.

It is an arithmetic number, because the mean of its divisors is an integer number (12153833406).

Almost surely, 2428227832250 is an apocalyptic number.

428227832250 is an abundant number, since it is smaller than the sum of its proper divisors (738540174726).

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

428227832250 is a wasteful number, since it uses less digits than its factorization.

428227832250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453005 (or 1452992 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 428227832250 in words is "four hundred twenty-eight billion, two hundred twenty-seven million, eight hundred thirty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 131 150 225 250 262 375 393 450 655 750 786 1125 1179 1310 1965 2250 2358 3275 3930 5895 6550 9825 11790 16375 19650 29475 32750 49125 58950 98250 147375 294750 1452851 2905702 4358553 7264255 8717106 13075659 14528510 21792765 26151318 36321275 43585530 65378295 72642550 108963825 130756590 181606375 190323481 217927650 326891475 363212750 380646962 544819125 570970443 653782950 951617405 1089638250 1141940886 1634457375 1712911329 1903234810 2854852215 3268914750 3425822658 4758087025 5709704430 8564556645 9516174050 14274261075 17129113290 23790435125 28548522150 42822783225 47580870250 71371305375 85645566450 142742610750 214113916125 428227832250