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122483232 = 25331731269
BaseRepresentation
bin1110100110011…
…11001000100000
322112110210102000
413103033020200
5222323430412
620053124000
73015042654
oct723171040
9275423360
10122483232
1163158513
1235029600
131c4b62b1
14123a4a64
15ab464dc
hex74cf220

122483232 has 192 divisors, whose sum is σ = 391910400. Its totient is φ = 37048320.

The previous prime is 122483227. The next prime is 122483237. The reversal of 122483232 is 232384221.

It is an interprime number because it is at equal distance from previous prime (122483227) and next prime (122483237).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122483196 and 122483205.

It is not an unprimeable number, because it can be changed into a prime (122483237) 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, 455194 + ... + 455462.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2122483232 is an apocalyptic number.

122483232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122483232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

122483232 is an abundant number, since it is smaller than the sum of its proper divisors (269427168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122483232 is a wasteful number, since it uses less digits than its factorization.

122483232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 122483232 is about 11067.2142836398. The cubic root of 122483232 is about 496.6215326662.

The spelling of 122483232 in words is "one hundred twenty-two million, four hundred eighty-three thousand, two hundred thirty-two".