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2276124480 = 26325721272
BaseRepresentation
bin1000011110101010…
…1110011101000000
312212121221002210200
42013222232131000
514130141440410
61013505125200
7110255511300
oct20752563500
95777832720
102276124480
11a688a4013
12536329800
132a3735a26
14178415600
15d4c573c0
hex87aae740

2276124480 has 378 divisors, whose sum is σ = 9179384994. Its totient is φ = 516160512.

The previous prime is 2276124457. The next prime is 2276124493. The reversal of 2276124480 is 844216722.

It can be written as a sum of positive squares in only one way, i.e., 1820899584 + 455224896 = 42672^2 + 21336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17922177 + ... + 17922303.

Almost surely, 22276124480 is an apocalyptic number.

2276124480 is a gapful number since it is divisible by the number (20) 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 2276124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589692497).

2276124480 is an abundant number, since it is smaller than the sum of its proper divisors (6903260514).

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

2276124480 is a wasteful number, since it uses less digits than its factorization.

2276124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2276124480 is about 47708.7463679355. The cubic root of 2276124480 is about 1315.4227134517.

It can be divided in two parts, 2276 and 124480, that added together give a triangular number (126756 = T503).

The spelling of 2276124480 in words is "two billion, two hundred seventy-six million, one hundred twenty-four thousand, four hundred eighty".