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88130224 = 2472138647
BaseRepresentation
bin1010100000011…
…00001010110000
320010211110221101
411100030022300
5140030131344
612424534144
72120044300
oct520141260
9203743841
1088130224
11458245a6
1225621354
1315348b80
14b9c1600
157b0c9d4
hex540c2b0

88130224 has 60 divisors (see below), whose sum is σ = 213934224. Its totient is φ = 34860672.

The previous prime is 88130221. The next prime is 88130233. The reversal of 88130224 is 42203188.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 88130192 and 88130201.

It is not an unprimeable number, because it can be changed into a prime (88130221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5869 + ... + 14515.

Almost surely, 288130224 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 88130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106967112).

88130224 is an abundant number, since it is smaller than the sum of its proper divisors (125804000).

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

88130224 is a wasteful number, since it uses less digits than its factorization.

88130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 88130224 is about 9387.7699162261. The cubic root of 88130224 is about 445.0153157208.

The spelling of 88130224 in words is "eighty-eight million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 8647 10192 17294 34588 60529 69176 112411 121058 138352 224822 242116 423703 449644 484232 786877 847406 899288 968464 1573754 1694812 1798576 3147508 3389624 5508139 6295016 6779248 11016278 12590032 22032556 44065112 88130224