Search a number
-
+
164651312 = 2471678803
BaseRepresentation
bin10011101000001…
…10000100110000
3102110211011010202
421310012010300
5314122320222
624201014332
74036340660
oct1164060460
9373734122
10164651312
1184a39a71
12471843a8
132815b917
1417c201a0
15e6c5892
hex9d06130

164651312 has 40 divisors (see below), whose sum is σ = 366809856. Its totient is φ = 70134336.

The previous prime is 164651269. The next prime is 164651329. The reversal of 164651312 is 213156461.

It is a happy number.

It is a super-2 number, since 2×1646513122 = 54220109086642688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14303 + ... + 23105.

Almost surely, 2164651312 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 164651312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183404928).

164651312 is an abundant number, since it is smaller than the sum of its proper divisors (202158544).

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

164651312 is a wasteful number, since it uses less digits than its factorization.

164651312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985 (or 8979 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 164651312 is about 12831.6527384433. The cubic root of 164651312 is about 548.0940219089.

The spelling of 164651312 in words is "one hundred sixty-four million, six hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1336 2338 2672 4676 8803 9352 17606 18704 35212 61621 70424 123242 140848 246484 492968 985936 1470101 2940202 5880404 10290707 11760808 20581414 23521616 41162828 82325656 164651312