Search a number
-
+
122201219 = 7172414261
BaseRepresentation
bin1110100100010…
…10010010000011
322111221110120002
413102022102003
5222240414334
620043110215
73012456530
oct722122203
9274843502
10122201219
1162a85648
1234b1236b
131c417b1a
141232dd87
15aadcb7e
hex748a483

122201219 has 16 divisors (see below), whose sum is σ = 148522176. Its totient is φ = 98150400.

The previous prime is 122201207. The next prime is 122201221. The reversal of 122201219 is 912102221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122201219 - 24 = 122201203 is a prime.

It is a super-2 number, since 2×1222012192 = 29866275850171922, which 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 122201219.

It is not an unprimeable number, because it can be changed into a prime (122201719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26549 + ... + 30809.

It is an arithmetic number, because the mean of its divisors is an integer number (9282636).

Almost surely, 2122201219 is an apocalyptic number.

122201219 is a deficient number, since it is larger than the sum of its proper divisors (26320957).

122201219 is a wasteful number, since it uses less digits than its factorization.

122201219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526.

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

The square root of 122201219 is about 11054.4660205729. The cubic root of 122201219 is about 496.2400890102.

The spelling of 122201219 in words is "one hundred twenty-two million, two hundred one thousand, two hundred nineteen".

Divisors: 1 7 17 119 241 1687 4097 4261 28679 29827 72437 507059 1026901 7188307 17457317 122201219