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122444949 = 31119401487
BaseRepresentation
bin1110100110001…
…01110010010101
322112101211220010
413103011302111
5222321214244
620052230433
73014523234
oct723056225
9275354803
10122444949
1163131780
123500b419
131c4a1a43
1412394b1b
15ab39eb9
hex74c5c95

122444949 has 32 divisors (see below), whose sum is σ = 188328960. Its totient is φ = 69984000.

The previous prime is 122444941. The next prime is 122444953. The reversal of 122444949 is 949444221.

It is not a de Polignac number, because 122444949 - 23 = 122444941 is a prime.

It is a super-2 number, since 2×1224449492 = 29985531071225202, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122444941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251184 + ... + 251670.

It is an arithmetic number, because the mean of its divisors is an integer number (5885280).

Almost surely, 2122444949 is an apocalyptic number.

122444949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

122444949 is a deficient number, since it is larger than the sum of its proper divisors (65884011).

122444949 is a wasteful number, since it uses less digits than its factorization.

122444949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921.

The product of its digits is 82944, while the sum is 39.

The square root of 122444949 is about 11065.4845804420. The cubic root of 122444949 is about 496.5697864178.

The spelling of 122444949 in words is "one hundred twenty-two million, four hundred forty-four thousand, nine hundred forty-nine".

Divisors: 1 3 11 19 33 57 209 401 487 627 1203 1461 4411 5357 7619 9253 13233 16071 22857 27759 83809 101783 195287 251427 305349 585861 2148157 3710453 6444471 11131359 40814983 122444949