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22002202100 = 2252220022021
BaseRepresentation
bin10100011111011011…
…101111010111110100
32002210101000200012002
4110133123233113310
5330030030431400
614035131314432
71406143426544
oct243733572764
962711020162
1022002202100
1193707400aa
1243205aba18
1320c84433c8
1410ca195324
1588b915ed5
hex51f6ef5f4

22002202100 has 18 divisors (see below), whose sum is σ = 47744778774. Its totient is φ = 8800880800.

The previous prime is 22002202093. The next prime is 22002202121. The reversal of 22002202100 is 120220022.

It can be written as a sum of positive squares in 3 ways, for example, as 996917476 + 21005284624 = 31574^2 + 144932^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110010911 + ... + 110011110.

Almost surely, 222002202100 is an apocalyptic number.

22002202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002202100 is an abundant number, since it is smaller than the sum of its proper divisors (25742576674).

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

22002202100 is a wasteful number, since it uses less digits than its factorization.

22002202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220022035 (or 220022028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22002202100 its reverse (120220022), we get a palindrome (22122422122).

The spelling of 22002202100 in words is "twenty-two billion, two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 220022021 440044042 880088084 1100110105 2200220210 4400440420 5500550525 11001101050 22002202100