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2242650200 = 235271794229
BaseRepresentation
bin1000010110101100…
…0010000001011000
312210021221102201112
42011223002001120
514043104301300
61010311435452
7106401132530
oct20553020130
95707842645
102242650200
11a50a1031a
12527085b88
1329981556b
14173bc04c0
15d1d43e35
hex85ac2058

2242650200 has 96 divisors (see below), whose sum is σ = 6309640800. Its totient is φ = 723671040.

The previous prime is 2242650187. The next prime is 2242650227. The reversal of 2242650200 is 20562422.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23315 + ... + 70914.

It is an arithmetic number, because the mean of its divisors is an integer number (65725425).

Almost surely, 22242650200 is an apocalyptic number.

2242650200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242650200 is an abundant number, since it is smaller than the sum of its proper divisors (4066990600).

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

2242650200 is a wasteful number, since it uses less digits than its factorization.

2242650200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94269 (or 94260 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2242650200 is about 47356.6278360273. The cubic root of 2242650200 is about 1308.9423314178.

The spelling of 2242650200 in words is "two billion, two hundred forty-two million, six hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 94229 188458 376916 471145 659603 753832 942290 1319206 1601893 1884580 2355725 2638412 3203786 3298015 3769160 4711450 5276824 6407572 6596030 8009465 9422900 11213251 12815144 13192060 16018930 16490075 18845800 22426502 26384120 32037860 32980150 40047325 44853004 56066255 64075720 65960300 80094650 89706008 112132510 131920600 160189300 224265020 280331275 320378600 448530040 560662550 1121325100 2242650200