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164332245 = 35711791801
BaseRepresentation
bin10011100101110…
…00001011010101
3102110012221110110
421302320023111
5314032112440
624150113233
74033541520
oct1162701325
9373187413
10164332245
1184841280
124704b819
132807961c
1417b79bb7
15e661080
hex9cb82d5

164332245 has 64 divisors (see below), whose sum is σ = 332144640. Its totient is φ = 67392000.

The previous prime is 164332229. The next prime is 164332247. The reversal of 164332245 is 542233461.

164332245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164332245 - 24 = 164332229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164332247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90345 + ... + 92145.

It is an arithmetic number, because the mean of its divisors is an integer number (5189760).

Almost surely, 2164332245 is an apocalyptic number.

164332245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164332245 is an abundant number, since it is smaller than the sum of its proper divisors (167812395).

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

164332245 is a wasteful number, since it uses less digits than its factorization.

164332245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906.

The product of its digits is 17280, while the sum is 30.

The square root of 164332245 is about 12819.2138994558. The cubic root of 164332245 is about 547.7397544635.

The spelling of 164332245 in words is "one hundred sixty-four million, three hundred thirty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 79 105 165 231 237 385 395 553 869 1155 1185 1659 1801 2607 2765 4345 5403 6083 8295 9005 12607 13035 18249 19811 27015 30415 37821 59433 63035 91245 99055 138677 142279 189105 297165 416031 426837 693385 711395 995953 1565069 2080155 2134185 2987859 4695207 4979765 7825345 10955483 14939295 23476035 32866449 54777415 164332245