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2298128904 = 2332233737507
BaseRepresentation
bin1000100011111010…
…1010101000001000
312221011100001012100
42020332222220020
514201310111104
61020012513400
7110643526161
oct21076525010
95834301170
102298128904
11a7a263295
1254177b860
132a816b5b6
1417b302768
15d6b52139
hex88faaa08

2298128904 has 96 divisors (see below), whose sum is σ = 6670422720. Its totient is φ = 712914048.

The previous prime is 2298128887. The next prime is 2298128933. The reversal of 2298128904 is 4098218922.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2298128904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42519 + ... + 80025.

It is an arithmetic number, because the mean of its divisors is an integer number (69483570).

Almost surely, 22298128904 is an apocalyptic number.

2298128904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2298128904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335211360).

2298128904 is an abundant number, since it is smaller than the sum of its proper divisors (4372293816).

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

2298128904 is a wasteful number, since it uses less digits than its factorization.

2298128904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37579 (or 37572 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2298128904 is about 47938.8037397681. The cubic root of 2298128904 is about 1319.6480742253.

The spelling of 2298128904 in words is "two billion, two hundred ninety-eight million, one hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 37 46 69 72 74 92 111 138 148 184 207 222 276 296 333 414 444 552 666 828 851 888 1332 1656 1702 2553 2664 3404 5106 6808 7659 10212 15318 20424 30636 37507 61272 75014 112521 150028 225042 300056 337563 450084 675126 862661 900168 1350252 1387759 1725322 2587983 2700504 2775518 3450644 4163277 5175966 5551036 6901288 7763949 8326554 10351932 11102072 12489831 15527898 16653108 20703864 24979662 31055796 31918457 33306216 49959324 62111592 63836914 95755371 99918648 127673828 191510742 255347656 287266113 383021484 574532226 766042968 1149064452 2298128904