Search a number
-
+
2240124322200 = 2335237100906501
BaseRepresentation
bin100000100110010001110…
…100001000000110011000
321221011011010010021221220
4200212101310020012120
5243200233311302300
64433033210332040
7320562240365202
oct40462164100630
97834133107856
102240124322200
11794038864146
1230219912a020
1313332061411b
147a5cb861772
153d40dce4da0
hex20991d08198

2240124322200 has 96 divisors (see below), whose sum is σ = 7132071561360. Its totient is φ = 581221440000.

The previous prime is 2240124322193. The next prime is 2240124322243. The reversal of 2240124322200 is 22234210422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50431051 + ... + 50475450.

Almost surely, 22240124322200 is an apocalyptic number.

2240124322200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240124322200 is an abundant number, since it is smaller than the sum of its proper divisors (4891947239160).

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

2240124322200 is a wasteful number, since it uses less digits than its factorization.

2240124322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100906557 (or 100906548 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2240124322200 its reverse (22234210422), we get a palindrome (2262358532622).

The spelling of 2240124322200 in words is "two trillion, two hundred forty billion, one hundred twenty-four million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 100906501 201813002 302719503 403626004 504532505 605439006 807252008 1009065010 1210878012 1513597515 2018130020 2421756024 2522662525 3027195030 3733540537 4036260040 5045325050 6054390060 7467081074 7567987575 10090650100 11200621611 12108780120 14934162148 15135975150 18667702685 20181300200 22401243222 29868324296 30271950300 37335405370 44802486444 56003108055 60543900600 74670810740 89604972888 93338513425 112006216110 149341621480 186677026850 224012432220 280015540275 373354053700 448024864440 560031080550 746708107400 1120062161100 2240124322200