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2240232133000 = 235320177111029
BaseRepresentation
bin100000100110011000001…
…111011001000110001000
321221011102121222122120111
4200212120033121012020
5243200443411224000
64433052021204104
7320565016641331
oct40463017310610
97834377878514
102240232133000
117940936aaa84
12302209260634
13133339a60bb4
147a5dbcc7288
153d4184ddcba
hex209983d9188

2240232133000 has 64 divisors (see below), whose sum is σ = 5242450215600. Its totient is φ = 896040371200.

The previous prime is 2240232132991. The next prime is 2240232133021. The reversal of 2240232133000 is 3312320422.

It can be written as a sum of positive squares in 8 ways, for example, as 1001216164 + 2239230916836 = 31642^2 + 1496406^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20121486 + ... + 20232514.

Almost surely, 22240232133000 is an apocalyptic number.

2240232133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240232133000 is an abundant number, since it is smaller than the sum of its proper divisors (3002218082600).

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

2240232133000 is a wasteful number, since it uses less digits than its factorization.

2240232133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131227 (or 131213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2240232133000 its reverse (3312320422), we get a palindrome (2243544453422).

The spelling of 2240232133000 in words is "two trillion, two hundred forty billion, two hundred thirty-two million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 20177 40354 80708 100885 111029 161416 201770 222058 403540 444116 504425 555145 807080 888232 1008850 1110290 2017700 2220580 2522125 2775725 4035400 4441160 5044250 5551450 10088500 11102900 13878625 20177000 22205800 27757250 55514500 111029000 2240232133 4480464266 8960928532 11201160665 17921857064 22402321330 44804642660 56005803325 89609285320 112011606650 224023213300 280029016625 448046426600 560058033250 1120116066500 2240232133000