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2240014412200 = 235211200072061
BaseRepresentation
bin100000100110001011010…
…000110110100110101000
321221010212110022021210011
4200212023100312212220
5243200022142142300
64433014242501304
7320556434226655
oct40461320664650
97833773267704
102240014412200
11793a91814134
12302168364834
13133303910a16
147a5bb010c2c
153d404333eba
hex2098b4369a8

2240014412200 has 24 divisors (see below), whose sum is σ = 5208033508830. Its totient is φ = 896005764800.

The previous prime is 2240014412191. The next prime is 2240014412213. The reversal of 2240014412200 is 22144100422.

It can be written as a sum of positive squares in 3 ways, for example, as 2168497746724 + 71516665476 = 1472582^2 + 267426^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5600035831 + ... + 5600036230.

Almost surely, 22240014412200 is an apocalyptic number.

2240014412200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240014412200 is an abundant number, since it is smaller than the sum of its proper divisors (2968019096630).

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

2240014412200 is a wasteful number, since it uses less digits than its factorization.

2240014412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200072077 (or 11200072068 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2240014412200 its reverse (22144100422), we get a palindrome (2262158512622).

The spelling of 2240014412200 in words is "two trillion, two hundred forty billion, fourteen million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11200072061 22400144122 44800288244 56000360305 89600576488 112000720610 224001441220 280001801525 448002882440 560003603050 1120007206100 2240014412200