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2230022200 = 235273151383
BaseRepresentation
bin1000010011101011…
…0111000000111000
312202102011212100211
42010322313000320
514031341202300
61005141040504
7106155606310
oct20472670070
95672155324
102230022200
11a4487575a
125229b6134
13297013783
14172254440
15d0b9c4ba
hex84eb7038

2230022200 has 96 divisors (see below), whose sum is σ = 6116751360. Its totient is φ = 739900800.

The previous prime is 2230022129. The next prime is 2230022213. The reversal of 2230022200 is 22200322.

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, 17709 + ... + 69091.

It is an arithmetic number, because the mean of its divisors is an integer number (63716160).

Almost surely, 22230022200 is an apocalyptic number.

2230022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058375680).

2230022200 is an abundant number, since it is smaller than the sum of its proper divisors (3886729160).

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

2230022200 is a wasteful number, since it uses less digits than its factorization.

2230022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51437 (or 51428 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2230022200 is about 47223.1108674556. The cubic root of 2230022200 is about 1306.4808915511.

Adding to 2230022200 its reverse (22200322), we get a palindrome (2252222522).

The spelling of 2230022200 in words is "two billion, two hundred thirty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 6200 8680 10850 21700 43400 51383 102766 205532 256915 359681 411064 513830 719362 1027660 1284575 1438724 1592873 1798405 2055320 2569150 2877448 3185746 3596810 5138300 6371492 7193620 7964365 8992025 10276600 11150111 12742984 14387240 15928730 17984050 22300222 31857460 35968100 39821825 44600444 55750555 63714920 71936200 79643650 89200888 111501110 159287300 223002220 278752775 318574600 446004440 557505550 1115011100 2230022200