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99322164 = 22322758949
BaseRepresentation
bin1011110101110…
…00100100110100
320220220002101200
411322320210310
5200411302124
613504452500
72314136664
oct572704464
9226802350
1099322164
1151079237
122931a130
1317767116
14d2961a4
158abdbc9
hex5eb8934

99322164 has 18 divisors (see below), whose sum is σ = 251064450. Its totient is φ = 33107376.

The previous prime is 99322151. The next prime is 99322183. The reversal of 99322164 is 46122399.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 26936100 = 8508^2 + 5190^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2758949 = 99322164 / (9 + 9 + 3 + 2 + 2 + 1 + 6 + 4).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1379439 + ... + 1379510.

It is an arithmetic number, because the mean of its divisors is an integer number (13948025).

Almost surely, 299322164 is an apocalyptic number.

It is an amenable number.

99322164 is an abundant number, since it is smaller than the sum of its proper divisors (151742286).

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

99322164 is a wasteful number, since it uses less digits than its factorization.

99322164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758959 (or 2758954 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 99322164 is about 9966.0505718163. The cubic root of 99322164 is about 463.1077594701.

The spelling of 99322164 in words is "ninety-nine million, three hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2758949 5517898 8276847 11035796 16553694 24830541 33107388 49661082 99322164