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220001102219 = 1731598598237
BaseRepresentation
bin1100110011100100010…
…1100110100110001011
3210000212020212221201002
43030321011212212023
512101030240232334
6245022255045215
721615555341243
oct3147105464613
9700766787632
10220001102219
1185335983348
1236779b1080b
1317990cc16c2
14a9105b2b23
155ac935bb7e
hex333916698b

220001102219 has 32 divisors (see below), whose sum is σ = 244846540800. Its totient is φ = 196731025920.

The previous prime is 220001102213. The next prime is 220001102221. The reversal of 220001102219 is 912201100022.

It is a happy number.

220001102219 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220001102219 is a prime.

It is a super-2 number, since 2×2200011022192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220001102219.

It is not an unprimeable number, because it can be changed into a prime (220001102213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26704769 + ... + 26713005.

It is an arithmetic number, because the mean of its divisors is an integer number (7651454400).

Almost surely, 2220001102219 is an apocalyptic number.

220001102219 is a deficient number, since it is larger than the sum of its proper divisors (24845438581).

220001102219 is a wasteful number, since it uses less digits than its factorization.

220001102219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 220001102219 in words is "two hundred twenty billion, one million, one hundred two thousand, two hundred nineteen".

Divisors: 1 17 31 59 527 859 1003 1829 8237 14603 26629 31093 50681 140029 255347 452693 485983 861577 1571111 4340899 7075583 8261711 15065473 26708887 120284911 219343073 256113041 417459397 3728832241 7096809749 12941241307 220001102219