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161414232 = 23372294733
BaseRepresentation
bin10011001111011…
…11110001011000
3102020201200200220
421213233301120
5312310223412
624003400040
73666666300
oct1147576130
9366650626
10161414232
11831289a1
1246083020
13275973a5
141761a600
15e28668c
hex99efc58

161414232 has 96 divisors (see below), whose sum is σ = 485708400. Its totient is φ = 44518656.

The previous prime is 161414213. The next prime is 161414237. The reversal of 161414232 is 232414161.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161414237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31738 + ... + 36470.

Almost surely, 2161414232 is an apocalyptic number.

161414232 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 161414232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242854200).

161414232 is an abundant number, since it is smaller than the sum of its proper divisors (324294168).

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

161414232 is a wasteful number, since it uses less digits than its factorization.

161414232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4774 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 161414232 is about 12704.8900821691. The cubic root of 161414232 is about 544.4783404445.

Adding to 161414232 its reverse (232414161), we get a palindrome (393828393).

The spelling of 161414232 in words is "one hundred sixty-one million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4733 4872 5684 8526 9466 11368 14199 17052 18932 28398 33131 34104 37864 56796 66262 99393 113592 132524 137257 198786 231917 265048 274514 397572 411771 463834 549028 695751 795144 823542 927668 960799 1098056 1391502 1647084 1855336 1921598 2783004 2882397 3294168 3843196 5566008 5764794 6725593 7686392 11529588 13451186 20176779 23059176 26902372 40353558 53804744 80707116 161414232