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2255947848 = 233572112153
BaseRepresentation
bin1000011001110111…
…0000100001001000
312211012222000200000
42012131300201020
514110010312343
61011504443000
7106622145300
oct20635604110
95735860600
102255947848
11a58473010
1252b619460
1329c4c00ab
14175882600
15d30bded3
hex86770848

2255947848 has 288 divisors, whose sum is σ = 8044414560. Its totient is φ = 585688320.

The previous prime is 2255947789. The next prime is 2255947861. The reversal of 2255947848 is 8487495522.

2255947848 is a `hidden beast` number, since 2 + 2 + 5 + 594 + 7 + 8 + 48 = 666.

It is a super-2 number, since 2×22559478482 = 10178601385791662208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2255947794 and 2255947803.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1046740 + ... + 1048892.

It is an arithmetic number, because the mean of its divisors is an integer number (27931995).

Almost surely, 22255947848 is an apocalyptic number.

2255947848 is a gapful number since it is divisible by the number (28) 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 2255947848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022207280).

2255947848 is an abundant number, since it is smaller than the sum of its proper divisors (5788466712).

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

2255947848 is a wasteful number, since it uses less digits than its factorization.

2255947848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2176 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2255947848 is about 47496.8193461415. The cubic root of 2255947848 is about 1311.5243308996.

It can be divided in two parts, 22559 and 47848, that added together give a palindrome (70407).

The spelling of 2255947848 in words is "two billion, two hundred fifty-five million, nine hundred forty-seven thousand, eight hundred forty-eight".