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2204121400 = 23521317471061
BaseRepresentation
bin1000001101100000…
…0011100100111000
312200121102222010221
42003120003210320
514003223341100
61002413545424
7105422502625
oct20330034470
95617388127
102204121400
11a31195038
125161a5274
13291845560
1416ca3134c
15cd78301a
hex83603938

2204121400 has 192 divisors, whose sum is σ = 5973367680. Its totient is φ = 748953600.

The previous prime is 2204121347. The next prime is 2204121443. The reversal of 2204121400 is 41214022.

It is a super-2 number, since 2×22041214002 = 9716302291875920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076870 + ... + 2077930.

It is an arithmetic number, because the mean of its divisors is an integer number (31111290).

Almost surely, 22204121400 is an apocalyptic number.

2204121400 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 2204121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986683840).

2204121400 is an abundant number, since it is smaller than the sum of its proper divisors (3769246280).

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

2204121400 is a wasteful number, since it uses less digits than its factorization.

2204121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2204121400 is about 46948.0713128878. The cubic root of 2204121400 is about 1301.4031004622.

Adding to 2204121400 its reverse (41214022), we get a palindrome (2245335422).

It can be divided in two parts, 2 and 204121400, that added together give a palindrome (204121402).

The spelling of 2204121400 in words is "two billion, two hundred four million, one hundred twenty-one thousand, four hundred".