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22804322121 = 3672172472
BaseRepresentation
bin10101001111001111…
…100101011101001001
32011212021100121000000
4111033033211131021
5333200401301441
614250503433213
71435053353100
oct251717453511
964767317000
1022804322121
119742499809
124505155809
1321c5689239
141164913037
158d705b2b6
hex54f3e5749

22804322121 has 189 divisors, whose sum is σ = 43168300599. Its totient is φ = 12003562368.

The previous prime is 22804322111. The next prime is 22804322131. The reversal of 22804322121 is 12122340822.

The square root of 22804322121 is 151011.

It is a perfect power (a square), and thus also a powerful number.

22804322121 is a `hidden beast` number, since 228 + 0 + 432 + 2 + 1 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22804322111) and next prime (22804322131).

It can be written as a sum of positive squares in only one way, i.e., 17754230025 + 5050092096 = 133245^2 + 71064^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 22804322121 - 215 = 22804289353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22804322111) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 485198320 + ... + 485198366.

Almost surely, 222804322121 is an apocalyptic number.

22804322121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22804322121 is the 151011-st square number.

22804322121 is the 75506-th centered octagonal number.

It is an amenable number.

22804322121 is a deficient number, since it is larger than the sum of its proper divisors (20363978478).

22804322121 is an frugal number, since it uses more digits than its factorization.

22804322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22804322121 its reverse (12122340822), we get a palindrome (34926662943).

The spelling of 22804322121 in words is "twenty-two billion, eight hundred four million, three hundred twenty-two thousand, one hundred twenty-one".