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2264046440 = 235267121191
BaseRepresentation
bin1000011011110010…
…1001101101101000
312211210012110211212
42012330221231220
514114043441230
61012354212252
7110051035325
oct20674515550
95753173755
102264046440
11a61aa4667
12532284088
132a1097366
1417698db4c
15d3b6d895
hex86f29b68

2264046440 has 32 divisors (see below), whose sum is σ = 5096252160. Its totient is φ = 905236800.

The previous prime is 2264046439. The next prime is 2264046493. The reversal of 2264046440 is 446404622.

2264046440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2264046397 and 2264046406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96245 + ... + 117435.

It is an arithmetic number, because the mean of its divisors is an integer number (159257880).

Almost surely, 22264046440 is an apocalyptic number.

2264046440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264046440 is an abundant number, since it is smaller than the sum of its proper divisors (2832205720).

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

2264046440 is a wasteful number, since it uses less digits than its factorization.

2264046440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23873 (or 23869 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2264046440 is about 47581.9970156781. The cubic root of 2264046440 is about 1313.0918635541.

The spelling of 2264046440 in words is "two billion, two hundred sixty-four million, forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2671 5342 10684 13355 21191 21368 26710 42382 53420 84764 105955 106840 169528 211910 423820 847640 56601161 113202322 226404644 283005805 452809288 566011610 1132023220 2264046440