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2255699968 = 21437612
BaseRepresentation
bin1000011001110011…
…0100000000000000
312211012111102122021
42012130310000000
514104424344333
61011455251224
7106620063514
oct20634640000
95735442567
102255699968
11a58313855
1252b519b14
1329c434312
1417581a144
15d307082d
hex86734000

2255699968 has 90 divisors (see below), whose sum is σ = 4710387318. Its totient is φ = 1079377920.

The previous prime is 2255699899. The next prime is 2255700001. The reversal of 2255699968 is 8699965522.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 2255110144 = 768^2 + 47488^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

Its product of digits (20995200) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36978658 + ... + 36978718.

Almost surely, 22255699968 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 2255699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355193659).

2255699968 is an abundant number, since it is smaller than the sum of its proper divisors (2454687350).

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

2255699968 is an frugal number, since it uses more digits than its factorization.

2255699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 100 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 61.

The square root of 2255699968 is about 47494.2098365685. The cubic root of 2255699968 is about 1311.4762930634.

The spelling of 2255699968 in words is "two billion, two hundred fifty-five million, six hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 128 148 244 256 296 488 512 592 976 1024 1184 1952 2048 2257 2368 3721 3904 4096 4514 4736 7442 7808 8192 9028 9472 14884 15616 16384 18056 18944 29768 31232 36112 37888 59536 62464 72224 75776 119072 124928 137677 144448 151552 238144 249856 275354 288896 303104 476288 499712 550708 577792 606208 952576 999424 1101416 1155584 1905152 2202832 2311168 3810304 4405664 4622336 7620608 8811328 9244672 15241216 17622656 18489344 30482432 35245312 36978688 60964864 70490624 140981248 281962496 563924992 1127849984 2255699968