Search a number
-
+
122161419 = 3310144797
BaseRepresentation
bin1110100100000…
…00100100001011
322111212102222000
413102000210023
5222233131134
620042202043
73012232512
oct722004413
9274772860
10122161419
1162a58756
1234ab3323
131c402983
141231d679
15aad0e99
hex748090b

122161419 has 16 divisors (see below), whose sum is σ = 182775840. Its totient is φ = 80632800.

The previous prime is 122161387. The next prime is 122161433. The reversal of 122161419 is 914161221.

122161419 is a `hidden beast` number, since 12 + 21 + 614 + 19 = 666.

It is not a de Polignac number, because 122161419 - 25 = 122161387 is a prime.

It is a super-2 number, since 2×1221614192 = 29846824584187122, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122161392 and 122161401.

It is not an unprimeable number, because it can be changed into a prime (122161019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19672 + ... + 25125.

It is an arithmetic number, because the mean of its divisors is an integer number (11423490).

Almost surely, 2122161419 is an apocalyptic number.

122161419 is a deficient number, since it is larger than the sum of its proper divisors (60614421).

122161419 is a wasteful number, since it uses less digits than its factorization.

122161419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44907 (or 44901 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 122161419 is about 11052.6656965639. The cubic root of 122161419 is about 496.1862092964.

The spelling of 122161419 in words is "one hundred twenty-two million, one hundred sixty-one thousand, four hundred nineteen".

Divisors: 1 3 9 27 101 303 909 2727 44797 134391 403173 1209519 4524497 13573491 40720473 122161419