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2276004312 = 233354119477
BaseRepresentation
bin1000011110101001…
…0001000111011000
312212121200222222000
42013222101013120
514130124114222
61013502401000
7110254501041
oct20752210730
95777628860
102276004312
11a688217aa
12536290160
132a36c311a
141783c38c8
15d4c319ac
hex87a911d8

2276004312 has 64 divisors (see below), whose sum is σ = 6334245600. Its totient is φ = 757226880.

The previous prime is 2276004191. The next prime is 2276004331. The reversal of 2276004312 is 2134006722.

2276004312 is a `hidden beast` number, since 2 + 2 + 7 + 600 + 43 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107118 + ... + 126594.

Almost surely, 22276004312 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 2276004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167122800).

2276004312 is an abundant number, since it is smaller than the sum of its proper divisors (4058241288).

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

2276004312 is a wasteful number, since it uses less digits than its factorization.

2276004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20033 (or 20023 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2276004312 is about 47707.4869595958. The cubic root of 2276004312 is about 1315.3995637954.

The spelling of 2276004312 in words is "two billion, two hundred seventy-six million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 541 1082 1623 2164 3246 4328 4869 6492 9738 12984 14607 19476 19477 29214 38952 38954 58428 58431 77908 116856 116862 155816 175293 233724 350586 467448 525879 701172 1051758 1402344 2103516 4207032 10537057 21074114 31611171 42148228 63222342 84296456 94833513 126444684 189667026 252889368 284500539 379334052 569001078 758668104 1138002156 2276004312