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94222128 = 243711133753
BaseRepresentation
bin1011001110110…
…11011100110000
320120021222110110
411213123130300
5143110102003
613203301320
72222606040
oct547333460
9216258413
1094222128
1149205530
122767a840
131669c950
14c729720
158412a03
hex59db730

94222128 has 320 divisors, whose sum is σ = 341978112. Its totient is φ = 21565440.

The previous prime is 94222103. The next prime is 94222133. The reversal of 94222128 is 82122249.

94222128 is a nontrivial binomial coefficient, being equal to C(13728, 2).

It is a junction number, because it is equal to n+sod(n) for n = 94222095 and 94222104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777750 + ... + 1777802.

Almost surely, 294222128 is an apocalyptic number.

94222128 is the 13727-th triangular number and also the 6864-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94222128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

94222128 is an abundant number, since it is smaller than the sum of its proper divisors (247755984).

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

94222128 is a wasteful number, since it uses less digits than its factorization.

94222128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 94222128 is about 9706.8083322996. The cubic root of 94222128 is about 455.0414614232.

It can be divided in two parts, 942221 and 28, that added together give a palindrome (942249).

The spelling of 94222128 in words is "ninety-four million, two hundred twenty-two thousand, one hundred twenty-eight".