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22180149 = 3461672
BaseRepresentation
bin101010010011…
…1000100110101
31112201212110000
41110213010311
521134231044
62111221513
7356346105
oct124470465
945655400
1022180149
111157a302
127517899
134797864
142d35205
151e31d69
hex1527135

22180149 has 30 divisors (see below), whose sum is σ = 34186614. Its totient is φ = 14327280.

The previous prime is 22180141. The next prime is 22180153. The reversal of 22180149 is 94108122.

It can be written as a sum of positive squares in only one way, i.e., 13089924 + 9090225 = 3618^2 + 3015^2 .

It is not a de Polignac number, because 22180149 - 23 = 22180141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22180141) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 331014 + ... + 331080.

Almost surely, 222180149 is an apocalyptic number.

It is an amenable number.

22180149 is a deficient number, since it is larger than the sum of its proper divisors (12006465).

22180149 is an frugal number, since it uses more digits than its factorization.

22180149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 22180149 is about 4709.5805545717. The cubic root of 22180149 is about 280.9666800240.

The spelling of 22180149 in words is "twenty-two million, one hundred eighty thousand, one hundred forty-nine".

Divisors: 1 3 9 27 61 67 81 183 201 549 603 1647 1809 4087 4489 4941 5427 12261 13467 36783 40401 110349 121203 273829 331047 363609 821487 2464461 7393383 22180149