Search a number
-
+
2200012211220 = 22351941971393491
BaseRepresentation
bin100000000000111010111…
…100100100010000010100
321210022121122002221002220
4200000322330210100110
5242021111111224340
64402401024502340
7314642232151215
oct40007274442024
97708548087086
102200012211220
117790245a24aa
122b646377a9b0
1312c5ca26a705
14786a442d40c
153c362564ed0
hex2003af24414

2200012211220 has 384 divisors, whose sum is σ = 6761093068800. Its totient is φ = 532633190400.

The previous prime is 2200012211203. The next prime is 2200012211237. The reversal of 2200012211220 is 221122100022.

It is an interprime number because it is at equal distance from previous prime (2200012211203) and next prime (2200012211237).

It is a super-2 number, since 2×22000122112202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200012211220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 630193675 + ... + 630197165.

It is an arithmetic number, because the mean of its divisors is an integer number (17607013200).

Almost surely, 22200012211220 is an apocalyptic number.

2200012211220 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 2200012211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380546534400).

2200012211220 is an abundant number, since it is smaller than the sum of its proper divisors (4561080857580).

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

2200012211220 is a wasteful number, since it uses less digits than its factorization.

2200012211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2200012211220 its reverse (221122100022), we get a palindrome (2421134311242).

The spelling of 2200012211220 in words is "two trillion, two hundred billion, twelve million, two hundred eleven thousand, two hundred twenty".