Search a number
-
+
2240602368 = 2837274013
BaseRepresentation
bin1000010110001100…
…1110000100000000
312210011002101121220
42011203032010000
514042043233433
61010155515040
7106344543264
oct20543160400
95704071556
102240602368
11a4a8417a4
12526458a80
13299279424
1417380a0a4
15d1a8c2b3
hex858ce100

2240602368 has 72 divisors (see below), whose sum is σ = 5972960448. Its totient is φ = 745654272.

The previous prime is 2240602367. The next prime is 2240602373. The reversal of 2240602368 is 8632060422.

It is not an unprimeable number, because it can be changed into a prime (2240602367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556330 + ... + 560342.

It is an arithmetic number, because the mean of its divisors is an integer number (82957784).

Almost surely, 22240602368 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 2240602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986480224).

2240602368 is an abundant number, since it is smaller than the sum of its proper divisors (3732358080).

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

2240602368 is an equidigital number, since it uses as much as digits as its factorization.

2240602368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2240602368 is about 47335.0015105102. The cubic root of 2240602368 is about 1308.5437984252.

The spelling of 2240602368 in words is "two billion, two hundred forty million, six hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 727 768 1454 2181 2908 4013 4362 5816 8026 8724 11632 12039 16052 17448 23264 24078 32104 34896 46528 48156 64208 69792 93056 96312 128416 139584 186112 192624 256832 279168 385248 513664 558336 770496 1027328 1540992 2917451 3081984 5834902 8752353 11669804 17504706 23339608 35009412 46679216 70018824 93358432 140037648 186716864 280075296 373433728 560150592 746867456 1120301184 2240602368