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2200353140 = 225197098167
BaseRepresentation
bin1000001100100110…
…1011100101110100
312200100100112001202
42003021223211310
514001242300030
61002201112032
7105345456506
oct20311534564
95610315052
102200353140
11a2a050977
12514a88618
13290b2630b
1416c32dd76
15cd28b745
hex8326b974

2200353140 has 48 divisors (see below), whose sum is σ = 4871395200. Its totient is φ = 832540032.

The previous prime is 2200353011. The next prime is 2200353187. The reversal of 2200353140 is 413530022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 265337 + ... + 273503.

It is an arithmetic number, because the mean of its divisors is an integer number (101487400).

Almost surely, 22200353140 is an apocalyptic number.

2200353140 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 2200353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435697600).

2200353140 is an abundant number, since it is smaller than the sum of its proper divisors (2671042060).

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

2200353140 is a wasteful number, since it uses less digits than its factorization.

2200353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8902 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2200353140 is about 46907.9219322280. The cubic root of 2200353140 is about 1300.6610326530.

Adding to 2200353140 its reverse (413530022), we get a palindrome (2613883162).

The spelling of 2200353140 in words is "two billion, two hundred million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 709 1418 2836 3545 7090 8167 13471 14180 16334 26942 32668 40835 53884 67355 81670 134710 155173 163340 269420 310346 620692 775865 1551730 3103460 5790403 11580806 23161612 28952015 57904030 110017657 115808060 220035314 440070628 550088285 1100176570 2200353140