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2100000022200 = 233552313973511
BaseRepresentation
bin11110100011110001110…
…000010101111010111000
321102202110121112022200000
4132203301300111322320
5233401300001202300
64244420544313000
7304501646445213
oct36436160257270
97382417468600
102100000022200
1173a6722a1633
1229abb1912760
1312304c080c42
14738d791877a
153995c21dc00
hex1e8f1c15eb8

2100000022200 has 576 divisors, whose sum is σ = 7570802104320. Its totient is φ = 540416448000.

The previous prime is 2100000022199. The next prime is 2100000022223. The reversal of 2100000022200 is 22200000012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 598118445 + ... + 598121955.

Almost surely, 22100000022200 is an apocalyptic number.

2100000022200 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 2100000022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785401052160).

2100000022200 is an abundant number, since it is smaller than the sum of its proper divisors (5470802082120).

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

2100000022200 is a wasteful number, since it uses less digits than its factorization.

2100000022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2100000022200 its reverse (22200000012), we get a palindrome (2122200022212).

The spelling of 2100000022200 in words is "two trillion, one hundred billion, twenty-two thousand, two hundred".