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2320164 = 223571131
BaseRepresentation
bin1000110110011100100100
311100212200000
420312130210
51043221124
6121421300
725502220
oct10663444
94325600
102320164
1113451a0
1293a830
136330a2
14445780
1530c6c9
hex236724

2320164 has 144 divisors (see below), whose sum is σ = 7827456. Its totient is φ = 583200.

The previous prime is 2320139. The next prime is 2320169. The reversal of 2320164 is 4610232.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2320169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74829 + ... + 74859.

22320164 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 2320164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913728).

2320164 is an abundant number, since it is smaller than the sum of its proper divisors (5507292).

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

2320164 is a wasteful number, since it uses less digits than its factorization.

2320164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 54 counting only the distinct ones).

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

The square root of 2320164 is about 1523.2084558589. The cubic root of 2320164 is about 132.3852382358.

Adding to 2320164 its reverse (4610232), we get a palindrome (6930396).

The spelling of 2320164 in words is "two million, three hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 31 33 36 42 44 54 62 63 66 77 81 84 93 99 108 124 126 132 154 162 186 189 198 217 231 243 252 279 297 308 324 341 372 378 396 434 462 486 558 567 594 651 682 693 756 837 868 891 924 972 1023 1116 1134 1188 1302 1364 1386 1674 1701 1782 1953 2046 2079 2268 2387 2511 2604 2673 2772 3069 3348 3402 3564 3906 4092 4158 4774 5022 5346 5859 6138 6237 6804 7161 7533 7812 8316 9207 9548 10044 10692 11718 12276 12474 14322 15066 17577 18414 18711 21483 23436 24948 27621 28644 30132 35154 36828 37422 42966 52731 55242 64449 70308 74844 82863 85932 105462 110484 128898 165726 193347 210924 257796 331452 386694 580041 773388 1160082 2320164