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164231700 = 22352896151
BaseRepresentation
bin10011100100111…
…11101000010100
3102110000211112120
421302133220110
5314020403300
624144015540
74032642423
oct1162375024
9373024476
10164231700
1184782786
12470015b0
1328042929
1417b512ba
15e6413a0
hex9c9fa14

164231700 has 72 divisors (see below), whose sum is σ = 480594240. Its totient is φ = 43296000.

The previous prime is 164231693. The next prime is 164231729. The reversal of 164231700 is 7132461.

164231700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23625 + ... + 29775.

It is an arithmetic number, because the mean of its divisors is an integer number (6674920).

Almost surely, 2164231700 is an apocalyptic number.

164231700 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 164231700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240297120).

164231700 is an abundant number, since it is smaller than the sum of its proper divisors (316362540).

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

164231700 is a wasteful number, since it uses less digits than its factorization.

164231700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 164231700 is about 12815.2916470910. The cubic root of 164231700 is about 547.6280220211.

The spelling of 164231700 in words is "one hundred sixty-four million, two hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1335 1780 2225 2670 4450 5340 6151 6675 8900 12302 13350 18453 24604 26700 30755 36906 61510 73812 92265 123020 153775 184530 307550 369060 461325 547439 615100 922650 1094878 1642317 1845300 2189756 2737195 3284634 5474390 6569268 8211585 10948780 13685975 16423170 27371950 32846340 41057925 54743900 82115850 164231700