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2240038368 = 25335943943
BaseRepresentation
bin1000010110000100…
…0100010111100000
312210010000201222000
42011201010113200
514041422211433
61010135444000
7106340004051
oct20541042740
95703021860
102240038368
11a4a496a87
12526226600
1329910c7b9
14173700728
15d19ca113
hex858445e0

2240038368 has 96 divisors (see below), whose sum is σ = 6644332800. Its totient is φ = 734007168.

The previous prime is 2240038357. The next prime is 2240038391. The reversal of 2240038368 is 8638300422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22400383682 = 10035543780224206848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29005 + ... + 72947.

It is an arithmetic number, because the mean of its divisors is an integer number (69211800).

Almost surely, 22240038368 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 2240038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322166400).

2240038368 is an abundant number, since it is smaller than the sum of its proper divisors (4404294432).

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

2240038368 is a wasteful number, since it uses less digits than its factorization.

2240038368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44021 (or 44007 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2240038368 is about 47329.0435990418. The cubic root of 2240038368 is about 1308.4339945252.

The spelling of 2240038368 in words is "two billion, two hundred forty million, thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 25488 43943 50976 87886 131829 175772 263658 351544 395487 527316 703088 790974 1054632 1186461 1406176 1581948 2109264 2372922 2592637 3163896 4218528 4745844 5185274 6327792 7777911 9491688 10370548 12655584 15555822 18983376 20741096 23333733 31111644 37966752 41482192 46667466 62223288 70001199 82964384 93334932 124446576 140002398 186669864 248893152 280004796 373339728 560009592 746679456 1120019184 2240038368