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122615441 = 1317554821
BaseRepresentation
bin1110100111011…
…11011010010001
322112201111202122
413103233122101
5222342143231
620100024025
73016133264
oct723573221
9275644678
10122615441
1163238883
1235092015
131c531520
14123dacdb
15ab7077b
hex74ef691

122615441 has 8 divisors (see below), whose sum is σ = 139815144. Its totient is φ = 106525440.

The previous prime is 122615401. The next prime is 122615443. The reversal of 122615441 is 144516221.

It can be written as a sum of positive squares in 4 ways, for example, as 48400 + 122567041 = 220^2 + 11071^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122615441 is a prime.

It is a super-3 number, since 3×1226154413 (a number of 25 digits) contains 333 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 122615441.

It is not an unprimeable number, because it can be changed into a prime (122615443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277190 + ... + 277631.

It is an arithmetic number, because the mean of its divisors is an integer number (17476893).

Almost surely, 2122615441 is an apocalyptic number.

It is an amenable number.

122615441 is a deficient number, since it is larger than the sum of its proper divisors (17199703).

122615441 is a wasteful number, since it uses less digits than its factorization.

122615441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554851.

The product of its digits is 1920, while the sum is 26.

The square root of 122615441 is about 11073.1856753149. The cubic root of 122615441 is about 496.8001536511.

The spelling of 122615441 in words is "one hundred twenty-two million, six hundred fifteen thousand, four hundred forty-one".

Divisors: 1 13 17 221 554821 7212673 9431957 122615441