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2200641920 = 2757334691
BaseRepresentation
bin1000001100101011…
…0010000110000000
312200100220012012022
42003022302012000
514001331020140
61002211221012
7105351101441
oct20312620600
95610805168
102200641920
11a2a228934
12514ba7768
13290bc78a9
1416c3a72c8
15cd2e70b5
hex832b2180

2200641920 has 64 divisors (see below), whose sum is σ = 5269209840. Its totient is φ = 878868480.

The previous prime is 2200641901. The next prime is 2200641923. The reversal of 2200641920 is 291460022.

It is a Cunningham number, because it is equal to 469112-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22006419202 = 9685649720122572800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2200641920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200641923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466775 + ... + 471465.

Almost surely, 22200641920 is an apocalyptic number.

2200641920 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 2200641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634604920).

2200641920 is an abundant number, since it is smaller than the sum of its proper divisors (3068567920).

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

2200641920 is an equidigital number, since it uses as much as digits as its factorization.

2200641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2200641920 is about 46910.9999893415. Note that the first 4 decimals coincide. The cubic root of 2200641920 is about 1300.7179308626.

The spelling of 2200641920 in words is "two billion, two hundred million, six hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 733 1466 2932 3665 4691 5864 7330 9382 11728 14660 18764 23455 23456 29320 37528 46910 46912 58640 75056 93820 93824 117280 150112 187640 234560 300224 375280 469120 600448 750560 1501120 3002240 3438503 6877006 13754012 17192515 27508024 34385030 55016048 68770060 110032096 137540120 220064192 275080240 440128384 550160480 1100320960 2200641920