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2264339620 = 225257601733
BaseRepresentation
bin1000011011110111…
…0001010010100100
312211210202101000101
42012331301102210
514114132331440
61012404353444
7110053366144
oct20675612244
95753671011
102264339620
11a62184964
125323a5884
132a116a93a
14176a28924
15d3bca69a
hex86f714a4

2264339620 has 48 divisors (see below), whose sum is σ = 4788081648. Its totient is φ = 899481600.

The previous prime is 2264339587. The next prime is 2264339621. The reversal of 2264339620 is 269334622.

It can be written as a sum of positive squares in 8 ways, for example, as 1086889024 + 1177450596 = 32968^2 + 34314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2264339620.

It is not an unprimeable number, because it can be changed into a prime (2264339621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3088774 + ... + 3089506.

It is an arithmetic number, because the mean of its divisors is an integer number (99751701).

Almost surely, 22264339620 is an apocalyptic number.

2264339620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264339620 is an abundant number, since it is smaller than the sum of its proper divisors (2523742028).

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

2264339620 is a wasteful number, since it uses less digits than its factorization.

2264339620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 2264339620 is about 47585.0777029942. The cubic root of 2264339620 is about 1313.1485401972.

The spelling of 2264339620 in words is "two billion, two hundred sixty-four million, three hundred thirty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 257 514 601 733 1028 1202 1285 1466 2404 2570 2932 3005 3665 5140 6010 7330 12020 14660 154457 188381 308914 376762 440533 617828 753524 772285 881066 941905 1544570 1762132 1883810 2202665 3089140 3767620 4405330 8810660 113216981 226433962 452867924 566084905 1132169810 2264339620