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164253184 = 2917113167
BaseRepresentation
bin10011100101001…
…00111000000000
3102110001221000021
421302210320000
5314022100214
624144303224
74033062154
oct1162447000
9373057007
10164253184
1184797937
1247011b14
132804c644
1417b59064
15e647924
hex9ca4e00

164253184 has 80 divisors (see below), whose sum is σ = 352664928. Its totient is φ = 76152832.

The previous prime is 164253181. The next prime is 164253197. The reversal of 164253184 is 481352461.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164253181) 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, 983469 + ... + 983635.

Almost surely, 2164253184 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 164253184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464).

164253184 is an abundant number, since it is smaller than the sum of its proper divisors (188411744).

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

164253184 is a wasteful number, since it uses less digits than its factorization.

164253184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 164253184 is about 12816.1298370452. The cubic root of 164253184 is about 547.6519003334.

The spelling of 164253184 in words is "one hundred sixty-four million, two hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 167 226 256 272 334 452 512 544 668 904 1088 1336 1808 1921 2176 2672 2839 3616 3842 4352 5344 5678 7232 7684 8704 10688 11356 14464 15368 18871 21376 22712 28928 30736 37742 42752 45424 57856 61472 75484 85504 90848 122944 150968 181696 245888 301936 320807 363392 491776 603872 641614 726784 983552 1207744 1283228 1453568 2415488 2566456 4830976 5132912 9661952 10265824 20531648 41063296 82126592 164253184