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2293712424 = 2333471012237
BaseRepresentation
bin1000100010110111…
…0100011000101000
312220212000122221000
42020231310120220
514144142244144
61015334115000
7110561143143
oct21055643050
95825018830
102293712424
11a77817103
125401aba60
132a72832b3
1417a8b305a
15d657d769
hex88b74628

2293712424 has 128 divisors (see below), whose sum is σ = 6574348800. Its totient is φ = 740563200.

The previous prime is 2293712419. The next prime is 2293712441. The reversal of 2293712424 is 4242173922.

It is a happy number.

2293712424 is a `hidden beast` number, since 229 + 3 + 7 + 1 + 2 + 424 = 666.

It is a super-2 number, since 2×22937124242 = 10522233368023911552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 1024234 + ... + 1026470.

It is an arithmetic number, because the mean of its divisors is an integer number (51362100).

Almost surely, 22293712424 is an apocalyptic number.

2293712424 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 2293712424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287174400).

2293712424 is an abundant number, since it is smaller than the sum of its proper divisors (4280636376).

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

2293712424 is a wasteful number, since it uses less digits than its factorization.

2293712424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2390 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2293712424 is about 47892.7178598166. The cubic root of 2293712424 is about 1318.8021778386.

The spelling of 2293712424 in words is "two billion, two hundred ninety-three million, seven hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 101 108 141 188 202 216 282 303 376 404 423 564 606 808 846 909 1128 1212 1269 1692 1818 2237 2424 2538 2727 3384 3636 4474 4747 5076 5454 6711 7272 8948 9494 10152 10908 13422 14241 17896 18988 20133 21816 26844 28482 37976 40266 42723 53688 56964 60399 80532 85446 105139 113928 120798 128169 161064 170892 210278 225937 241596 256338 315417 341784 420556 451874 483192 512676 630834 677811 841112 903748 946251 1025352 1261668 1355622 1807496 1892502 2033433 2523336 2711244 2838753 3785004 4066866 5422488 5677506 6100299 7570008 8133732 10619039 11355012 12200598 16267464 21238078 22710024 24401196 31857117 42476156 48802392 63714234 84952312 95571351 127428468 191142702 254856936 286714053 382285404 573428106 764570808 1146856212 2293712424