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2200420020 = 22351973137193
BaseRepresentation
bin1000001100100111…
…1011111010110100
312200100110220210210
42003021323322310
514001301420040
61002202345420
7105346155501
oct20311737264
95610426723
102200420020
11a2a097147
12514abb270
13290b4a8a6
1416c34a4a8
15cd2a1480
hex8327beb4

2200420020 has 192 divisors, whose sum is σ = 6656590080. Its totient is φ = 541458432.

The previous prime is 2200419983. The next prime is 2200420031. The reversal of 2200420020 is 200240022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2200419978 and 2200420005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11401044 + ... + 11401236.

It is an arithmetic number, because the mean of its divisors is an integer number (34669740).

Almost surely, 22200420020 is an apocalyptic number.

2200420020 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 2200420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328295040).

2200420020 is an abundant number, since it is smaller than the sum of its proper divisors (4456170060).

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

2200420020 is a wasteful number, since it uses less digits than its factorization.

2200420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2200420020 is about 46908.6348127933. The cubic root of 2200420020 is about 1300.6742104360.

Adding to 2200420020 its reverse (200240022), we get a palindrome (2400660042).

It can be divided in two parts, 22004 and 20020, that added together give a palindrome (42024).

The spelling of 2200420020 in words is "two billion, two hundred million, four hundred twenty thousand, twenty".