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2266964304 = 2431141910247
BaseRepresentation
bin1000011100011111…
…0010000101010000
312211222200201101220
42013013302011100
514120320324204
61012540525040
7110114610243
oct20707620520
95758621356
102266964304
11a63707920
12533250780
132a18794c7
1417710d25a
15d40481d9
hex871f2150

2266964304 has 80 divisors (see below), whose sum is σ = 6404590080. Its totient is φ = 685252480.

The previous prime is 2266964279. The next prime is 2266964339. The reversal of 2266964304 is 4034696622.

It is a super-2 number, since 2×22669643042 = 10278254311220408832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216109 + ... + 226355.

It is an arithmetic number, because the mean of its divisors is an integer number (80057376).

Almost surely, 22266964304 is an apocalyptic number.

2266964304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266964304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202295040).

2266964304 is an abundant number, since it is smaller than the sum of its proper divisors (4137625776).

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

2266964304 is a wasteful number, since it uses less digits than its factorization.

2266964304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 2266964304 is about 47612.6485715718. The cubic root of 2266964304 is about 1313.6557181096.

The spelling of 2266964304 in words is "two billion, two hundred sixty-six million, nine hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 419 528 838 1257 1676 2514 3352 4609 5028 6704 9218 10056 10247 13827 18436 20112 20494 27654 30741 36872 40988 55308 61482 73744 81976 110616 112717 122964 163952 221232 225434 245928 338151 450868 491856 676302 901736 1352604 1803472 2705208 4293493 5410416 8586986 12880479 17173972 25760958 34347944 47228423 51521916 68695888 94456846 103043832 141685269 188913692 206087664 283370538 377827384 566741076 755654768 1133482152 2266964304