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2240894376 = 2333710913597
BaseRepresentation
bin1000010110010001…
…0101010110101000
312210011122020012000
42011210111112220
514042132110001
61010210051000
7106350200520
oct20544252650
95704566160
102240894376
11a4aa21126
12526579a60
1329934c306
14173884680
15d1ae8a86
hex859155a8

2240894376 has 128 divisors (see below), whose sum is σ = 7179744000. Its totient is φ = 634334976.

The previous prime is 2240894311. The next prime is 2240894413. The reversal of 2240894376 is 6734980422.

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, 158010 + ... + 171606.

It is an arithmetic number, because the mean of its divisors is an integer number (56091750).

Almost surely, 22240894376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240894376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589872000).

2240894376 is an abundant number, since it is smaller than the sum of its proper divisors (4938849624).

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

2240894376 is a wasteful number, since it uses less digits than its factorization.

2240894376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2240894376 is about 47338.0858928622. The cubic root of 2240894376 is about 1308.6006415707.

The spelling of 2240894376 in words is "two billion, two hundred forty million, eight hundred ninety-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 109 126 168 189 216 218 252 327 378 436 504 654 756 763 872 981 1308 1512 1526 1962 2289 2616 2943 3052 3924 4578 5886 6104 6867 7848 9156 11772 13597 13734 18312 20601 23544 27194 27468 40791 41202 54388 54936 81582 82404 95179 108776 122373 163164 164808 190358 244746 285537 326328 367119 380716 489492 571074 734238 761432 856611 978984 1142148 1468476 1482073 1713222 2284296 2569833 2936952 2964146 3426444 4446219 5139666 5928292 6852888 8892438 10279332 10374511 11856584 13338657 17784876 20558664 20749022 26677314 31123533 35569752 40015971 41498044 53354628 62247066 80031942 82996088 93370599 106709256 124494132 160063884 186741198 248988264 280111797 320127768 373482396 560223594 746964792 1120447188 2240894376