Search a number
-
+
2264424440 = 235346916319
BaseRepresentation
bin1000011011111000…
…0101111111111000
312211210220200100212
42012332011333320
514114143040230
61012410250252
7110054201345
oct20676057770
95753820325
102264424440
11a62232663
12532426988
132a119a425
14176a4b7cc
15d3be5895
hex86f85ff8

2264424440 has 32 divisors (see below), whose sum is σ = 5096736000. Its totient is φ = 905453184.

The previous prime is 2264424403. The next prime is 2264424499. The reversal of 2264424440 is 444244622.

It is a super-3 number, since 3×22644244403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2264424397 and 2264424406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130601 + ... + 146919.

It is an arithmetic number, because the mean of its divisors is an integer number (159273000).

Almost surely, 22264424440 is an apocalyptic number.

2264424440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264424440 is an abundant number, since it is smaller than the sum of its proper divisors (2832311560).

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

2264424440 is a wasteful number, since it uses less digits than its factorization.

2264424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19799 (or 19795 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The square root of 2264424440 is about 47585.9689404345. The cubic root of 2264424440 is about 1313.1649364227.

The spelling of 2264424440 in words is "two billion, two hundred sixty-four million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3469 6938 13876 16319 17345 27752 32638 34690 65276 69380 81595 130552 138760 163190 326380 652760 56610611 113221222 226442444 283053055 452884888 566106110 1132212220 2264424440