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2240433624 = 23311131076101
BaseRepresentation
bin1000010110001010…
…0100110111011000
312210010202211011010
42011202210313120
514042022333444
61010152133520
7106343241312
oct20542446730
95703684133
102240433624
11a4a736a40
125263972a0
1329921a690
141737a47b2
15d1a572b9
hex858a4dd8

2240433624 has 128 divisors (see below), whose sum is σ = 6642881280. Its totient is φ = 620736000.

The previous prime is 2240433593. The next prime is 2240433667. The reversal of 2240433624 is 4263340422.

It is a junction number, because it is equal to n+sod(n) for n = 2240433591 and 2240433600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364174 + ... + 370274.

It is an arithmetic number, because the mean of its divisors is an integer number (51897510).

Almost surely, 22240433624 is an apocalyptic number.

2240433624 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 2240433624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321440640).

2240433624 is an abundant number, since it is smaller than the sum of its proper divisors (4402447656).

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

2240433624 is a wasteful number, since it uses less digits than its factorization.

2240433624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2240433624 is about 47333.2190327258. The cubic root of 2240433624 is about 1308.5109479648.

The spelling of 2240433624 in words is "two billion, two hundred forty million, four hundred thirty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 107 132 143 156 214 264 286 312 321 428 429 572 642 856 858 1144 1177 1284 1391 1716 2354 2568 2782 3432 3531 4173 4708 5564 6101 7062 8346 9416 11128 12202 14124 15301 16692 18303 24404 28248 30602 33384 36606 45903 48808 61204 67111 73212 79313 91806 122408 134222 146424 158626 183612 201333 237939 268444 317252 367224 402666 475878 536888 634504 652807 805332 872443 951756 1305614 1610664 1744886 1903512 1958421 2611228 2617329 3489772 3916842 5222456 5234658 6979544 7180877 7833684 8486491 10469316 14361754 15667368 16972982 20938632 21542631 25459473 28723508 33945964 43085262 50918946 57447016 67891928 86170524 93351401 101837892 172341048 186702802 203675784 280054203 373405604 560108406 746811208 1120216812 2240433624