Search a number
-
+
222100211021220 = 2232572435411082467
BaseRepresentation
bin110010011111111110111100…
…001011101011010110100100
31002010101120110120122202010200
4302133332330023223112210
5213102342213010134340
62104211232310350500
764532132163432300
oct6237767413532644
91063346416582120
10222100211021220
116484a196a87674
1220ab061335b430
1396c0c6325c32c
143cbb9c9802d00
151aa2509922330
hexc9ffbc2eb5a4

222100211021220 has 432 divisors, whose sum is σ = 803404995801408. Its totient is φ = 49493463022080.

The previous prime is 222100211021207. The next prime is 222100211021233. The reversal of 222100211021220 is 22120112001222.

It is a happy number.

222100211021220 is a `hidden beast` number, since 2 + 2 + 210 + 0 + 211 + 0 + 21 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (222100211021207) and next prime (222100211021233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222100211021193 and 222100211021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204638427 + ... + 205720893.

Almost surely, 2222100211021220 is an apocalyptic number.

222100211021220 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 222100211021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401702497900704).

222100211021220 is an abundant number, since it is smaller than the sum of its proper divisors (581304784780188).

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

222100211021220 is a wasteful number, since it uses less digits than its factorization.

222100211021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083080 (or 1083068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222100211021220 its reverse (22120112001222), we get a palindrome (244220323022442).

The spelling of 222100211021220 in words is "two hundred twenty-two trillion, one hundred billion, two hundred eleven million, twenty-one thousand, two hundred twenty".