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113742224 = 2431435333
BaseRepresentation
bin1101100011110…
…01000110010000
321221000200222222
412301321012100
5213104222344
615141520212
72550535661
oct661710620
9257020888
10113742224
1159228242
1232113068
131a7457bb
141116b368
159ebb5ee
hex6c79190

113742224 has 40 divisors (see below), whose sum is σ = 232818432. Its totient is φ = 53746560.

The previous prime is 113742203. The next prime is 113742229. The reversal of 113742224 is 422247311.

It is a Cunningham number, because it is equal to 106652-1.

It is a junction number, because it is equal to n+sod(n) for n = 113742193 and 113742202.

It is not an unprimeable number, because it can be changed into a prime (113742229) 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, 18662 + ... + 23994.

Almost surely, 2113742224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409216).

113742224 is an abundant number, since it is smaller than the sum of its proper divisors (119076208).

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

113742224 is a wasteful number, since it uses less digits than its factorization.

113742224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5409 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 113742224 is about 10664.9999531177. Note that the first 4 decimals coincide. The cubic root of 113742224 is about 484.5150131154.

Adding to 113742224 its reverse (422247311), we get a palindrome (535989535).

The spelling of 113742224 in words is "one hundred thirteen million, seven hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 688 1333 2666 5332 5333 10664 10666 21328 21332 42664 85328 165323 229319 330646 458638 661292 917276 1322584 1834552 2645168 3669104 7108889 14217778 28435556 56871112 113742224