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2023164 = 22331113131
BaseRepresentation
bin111101101111011111100
310210210021000
413231323330
51004220124
6111210300
723124303
oct7557374
93723230
102023164
111162040
12816990
1355ab50
143a943a
1529e6c9
hex1edefc

2023164 has 96 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 561600.

The previous prime is 2023163. The next prime is 2023171. The reversal of 2023164 is 4613202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15379 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

22023164 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 2023164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2023164 is an abundant number, since it is smaller than the sum of its proper divisors (4186116).

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

2023164 is a wasteful number, since it uses less digits than its factorization.

2023164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2023164 is about 1422.3796961431. The cubic root of 2023164 is about 126.4766526196.

Adding to 2023164 its reverse (4613202), we get a palindrome (6636366).

It can be divided in two parts, 2023 and 164, that added together give a 7-th power (2187 = 37).

The spelling of 2023164 in words is "two million, twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 131 132 143 156 198 234 262 286 297 351 393 396 429 468 524 572 594 702 786 858 1179 1188 1287 1404 1441 1572 1703 1716 2358 2574 2882 3406 3537 3861 4323 4716 5109 5148 5764 6812 7074 7722 8646 10218 12969 14148 15327 15444 17292 18733 20436 25938 30654 37466 38907 45981 51876 56199 61308 74932 77814 91962 112398 155628 168597 183924 224796 337194 505791 674388 1011582 2023164