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2241978912 = 25342337607
BaseRepresentation
bin1000010110100001…
…1110001000100000
312210020200022220000
42011220132020200
514042421311122
61010245220000
7106362335445
oct20550361040
95706608800
102241978912
11a505a1a38
12526a01600
1329963bb54
14173a879cc
15d1c600ac
hex85a1e220

2241978912 has 120 divisors (see below), whose sum is σ = 6880458816. Its totient is φ = 714814848.

The previous prime is 2241978901. The next prime is 2241978919. The reversal of 2241978912 is 2198791422.

It is not an unprimeable number, because it can be changed into a prime (2241978919) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 40813 + ... + 78419.

Almost surely, 22241978912 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 2241978912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440229408).

2241978912 is an abundant number, since it is smaller than the sum of its proper divisors (4638479904).

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

2241978912 is a wasteful number, since it uses less digits than its factorization.

2241978912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37652 (or 37635 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2241978912 is about 47349.5397232117. The cubic root of 2241978912 is about 1308.8117173545.

The spelling of 2241978912 in words is "two billion, two hundred forty-one million, nine hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 37607 59616 75214 112821 150428 225642 300856 338463 451284 601712 676926 864961 902568 1015389 1203424 1353852 1729922 1805136 2030778 2594883 2707704 3046167 3459844 3610272 4061556 5189766 5415408 6092334 6919688 7784649 8123112 10379532 10830816 12184668 13839376 15569298 16246224 20759064 23353947 24369336 27678752 31138596 32492448 41518128 46707894 48738672 62277192 70061841 83036256 93415788 97477344 124554384 140123682 186831576 249108768 280247364 373663152 560494728 747326304 1120989456 2241978912