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2275817440 = 255131094143
BaseRepresentation
bin1000011110100110…
…0011011111100000
312212121100111121211
42013221203133200
514130102124230
61013454355504
7110253062161
oct20751433740
95777314554
102275817440
11a68704366
125361bbb94
132a3659050
14178375768
15d4be642a
hex87a637e0

2275817440 has 48 divisors (see below), whose sum is σ = 5790210048. Its totient is φ = 840301056.

The previous prime is 2275817429. The next prime is 2275817447. The reversal of 2275817440 is 447185722.

2275817440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2275817393 and 2275817402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275817447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544992 + ... + 549151.

It is an arithmetic number, because the mean of its divisors is an integer number (120629376).

Almost surely, 22275817440 is an apocalyptic number.

2275817440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2275817440 is an abundant number, since it is smaller than the sum of its proper divisors (3514392608).

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

2275817440 is a wasteful number, since it uses less digits than its factorization.

2275817440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094171 (or 1094163 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The square root of 2275817440 is about 47705.5284008049. The cubic root of 2275817440 is about 1315.3635623880.

The spelling of 2275817440 in words is "two billion, two hundred seventy-five million, eight hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 1094143 2188286 4376572 5470715 8753144 10941430 14223859 17506288 21882860 28447718 35012576 43765720 56895436 71119295 87531440 113790872 142238590 175062880 227581744 284477180 455163488 568954360 1137908720 2275817440