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99122688 = 293272439
BaseRepresentation
bin1011110100001…
…11111000000000
320220111221202200
411322013320000
5200333411223
613500313200
72312346300
oct572077000
9226457680
1099122688
1150a52385
1229242800
13176c73a2
14d243600
158a7ea43
hex5e87e00

99122688 has 180 divisors, whose sum is σ = 333538920. Its totient is φ = 28256256.

The previous prime is 99122687. The next prime is 99122693. The reversal of 99122688 is 88622199.

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 (99122687) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225573 + ... + 226011.

It is an arithmetic number, because the mean of its divisors is an integer number (1852994).

Almost surely, 299122688 is an apocalyptic number.

99122688 is a gapful number since it is divisible by the number (98) 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 99122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166769460).

99122688 is an abundant number, since it is smaller than the sum of its proper divisors (234416232).

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

99122688 is a wasteful number, since it uses less digits than its factorization.

99122688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 451 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 99122688 is about 9956.0377660995. The cubic root of 99122688 is about 462.7975205715.

The spelling of 99122688 in words is "ninety-nine million, one hundred twenty-two thousand, six hundred eighty-eight".