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164070224 = 24232112113
BaseRepresentation
bin10011100011110…
…00001101010000
3102102201122000222
421301320031100
5314000221344
624140332212
74031400563
oct1161701520
9372648028
10164070224
118468242a
1246b44068
1327cb7296
1417b0c4da
15e60d5ee
hex9c78350

164070224 has 40 divisors (see below), whose sum is σ = 333436992. Its totient is φ = 78059520.

The previous prime is 164070169. The next prime is 164070229. The reversal of 164070224 is 422070461.

It is a super-5 number, since 5×1640702245 (a number of 42 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164070193 and 164070202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164070229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76592 + ... + 78704.

Almost surely, 2164070224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164070224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166718496).

164070224 is an abundant number, since it is smaller than the sum of its proper divisors (169366768).

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

164070224 is a wasteful number, since it uses less digits than its factorization.

164070224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 164070224 is about 12808.9899679873. The cubic root of 164070224 is about 547.4484834384.

The spelling of 164070224 in words is "one hundred sixty-four million, seventy thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 211 368 422 844 1688 2113 3376 4226 4853 8452 9706 16904 19412 33808 38824 48599 77648 97198 194396 388792 445843 777584 891686 1783372 3566744 7133488 10254389 20508778 41017556 82035112 164070224