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2264315032 = 237832691811
BaseRepresentation
bin1000011011110110…
…1011010010011000
312211210201010021201
42012331223102120
514114131040112
61012404043544
7110053234360
oct20675532230
95753633251
102264315032
11a62168441
125323935b4
132a115c6a5
14176a1d9a0
15d3bc3257
hex86f6b498

2264315032 has 64 divisors (see below), whose sum is σ = 4931539200. Its totient is φ = 954637440.

The previous prime is 2264315021. The next prime is 2264315047. The reversal of 2264315032 is 2305134622.

2264315032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22643150322 = 10254245128282322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1249407 + ... + 1251217.

It is an arithmetic number, because the mean of its divisors is an integer number (77055300).

Almost surely, 22264315032 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 2264315032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465769600).

2264315032 is an abundant number, since it is smaller than the sum of its proper divisors (2667224168).

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

2264315032 is a wasteful number, since it uses less digits than its factorization.

2264315032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2264315032 is about 47584.8193439883. The cubic root of 2264315032 is about 1313.1437871097.

Adding to 2264315032 its reverse (2305134622), we get a palindrome (4569449654).

It can be divided in two parts, 22643 and 15032, that added together give a triangular number (37675 = T274).

The spelling of 2264315032 in words is "two billion, two hundred sixty-four million, three hundred fifteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 83 166 269 332 538 581 664 1076 1162 1811 1883 2152 2324 3622 3766 4648 7244 7532 12677 14488 15064 22327 25354 44654 50708 89308 101416 150313 156289 178616 300626 312578 487159 601252 625156 974318 1052191 1202504 1250312 1948636 2104382 3410113 3897272 4208764 6820226 8417528 13640452 27280904 40434197 80868394 161736788 283039379 323473576 566078758 1132157516 2264315032