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23150208 = 273192167
BaseRepresentation
bin101100001001…
…1111010000000
31121120011010010
41120103322000
521411301313
62144104520
7400526214
oct130237200
947504103
1023150208
1112082104
127905140
134a47263
143108944
1520744c3
hex1613e80

23150208 has 96 divisors (see below), whose sum is σ = 65288160. Its totient is φ = 7266816.

The previous prime is 23150201. The next prime is 23150233. The reversal of 23150208 is 80205132.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (23150201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138541 + ... + 138707.

It is an arithmetic number, because the mean of its divisors is an integer number (680085).

Almost surely, 223150208 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 23150208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32644080).

23150208 is an abundant number, since it is smaller than the sum of its proper divisors (42137952).

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

23150208 is a wasteful number, since it uses less digits than its factorization.

23150208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 23150208 is about 4811.4663045687. The cubic root of 23150208 is about 285.0044443751.

The spelling of 23150208 in words is "twenty-three million, one hundred fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 167 192 228 304 334 361 384 456 501 608 668 722 912 1002 1083 1216 1336 1444 1824 2004 2166 2432 2672 2888 3173 3648 4008 4332 5344 5776 6346 7296 8016 8664 9519 10688 11552 12692 16032 17328 19038 21376 23104 25384 32064 34656 38076 46208 50768 60287 64128 69312 76152 101536 120574 138624 152304 180861 203072 241148 304608 361722 406144 482296 609216 723444 964592 1218432 1446888 1929184 2893776 3858368 5787552 7716736 11575104 23150208