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2254974876 = 2236711383
BaseRepresentation
bin1000011001101000…
…0010111110011100
312211011010121000000
42012122002332130
514104233144001
61011431534300
7106610653530
oct20632027634
95734117000
102254974876
11a57969000
1252b22a390
1329c23c27b
141756abbc0
15d2e7aa86
hex86682f9c

2254974876 has 336 divisors, whose sum is σ = 7527115008. Its totient is φ = 578651040.

The previous prime is 2254974871. The next prime is 2254974889. The reversal of 2254974876 is 6784794522.

2254974876 is a `hidden beast` number, since 22 + 54 + 97 + 487 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254974871) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27168331 + ... + 27168413.

It is an arithmetic number, because the mean of its divisors is an integer number (22402128).

Almost surely, 22254974876 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 2254974876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763557504).

2254974876 is an abundant number, since it is smaller than the sum of its proper divisors (5272140132).

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

2254974876 is an equidigital number, since it uses as much as digits as its factorization.

2254974876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2254974876 is about 47486.5757451514. The cubic root of 2254974876 is about 1311.3357538527.

The spelling of 2254974876 in words is "two billion, two hundred fifty-four million, nine hundred seventy-four thousand, eight hundred seventy-six".