Search a number
-
+
189922160 = 24529711153
BaseRepresentation
bin10110101000111…
…11101101110000
3111020101001020002
423110133231300
5342110002120
630502405132
74464211631
oct1324375560
9436331202
10189922160
119822a36a
12537307a8
133046919c
141b31b888
1511a18375
hexb51fb70

189922160 has 80 divisors (see below), whose sum is σ = 463631040. Its totient is φ = 72253440.

The previous prime is 189922093. The next prime is 189922163. The reversal of 189922160 is 61229981.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189922163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164144 + ... + 165296.

It is an arithmetic number, because the mean of its divisors is an integer number (5795388).

Almost surely, 2189922160 is an apocalyptic number.

189922160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189922160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231815520).

189922160 is an abundant number, since it is smaller than the sum of its proper divisors (273708880).

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

189922160 is a wasteful number, since it uses less digits than its factorization.

189922160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 189922160 is about 13781.2249092742. The cubic root of 189922160 is about 574.8111894255.

The spelling of 189922160 in words is "one hundred eighty-nine million, nine hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 71 80 116 142 145 232 284 290 355 464 568 580 710 1136 1153 1160 1420 2059 2306 2320 2840 4118 4612 5680 5765 8236 9224 10295 11530 16472 18448 20590 23060 32944 33437 41180 46120 66874 81863 82360 92240 133748 163726 164720 167185 267496 327452 334370 409315 534992 654904 668740 818630 1309808 1337480 1637260 2374027 2674960 3274520 4748054 6549040 9496108 11870135 18992216 23740270 37984432 47480540 94961080 189922160