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238385820 = 223537167643
BaseRepresentation
bin11100011010101…
…11101010011100
3121121120020212110
432031113222130
5442011321240
635353234020
75623150251
oct1615275234
9547506773
10238385820
11112620882
1267a02910
133a5071ca
1423935428
1515ddcc80
hexe357a9c

238385820 has 96 divisors (see below), whose sum is σ = 690697728. Its totient is φ = 61385472.

The previous prime is 238385803. The next prime is 238385863. The reversal of 238385820 is 28583832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370419 + ... + 371061.

It is an arithmetic number, because the mean of its divisors is an integer number (7194768).

Almost surely, 2238385820 is an apocalyptic number.

238385820 is a gapful number since it is divisible by the number (20) 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 238385820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345348864).

238385820 is an abundant number, since it is smaller than the sum of its proper divisors (452311908).

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

238385820 is a wasteful number, since it uses less digits than its factorization.

238385820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 238385820 is about 15439.7480549392. The cubic root of 238385820 is about 620.0501346902.

The spelling of 238385820 in words is "two hundred thirty-eight million, three hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 167 185 222 334 370 444 501 555 643 668 740 835 1002 1110 1286 1670 1929 2004 2220 2505 2572 3215 3340 3858 5010 6179 6430 7716 9645 10020 12358 12860 18537 19290 23791 24716 30895 37074 38580 47582 61790 71373 74148 92685 95164 107381 118955 123580 142746 185370 214762 237910 285492 322143 356865 370740 429524 475820 536905 644286 713730 1073810 1288572 1427460 1610715 2147620 3221430 3973097 6442860 7946194 11919291 15892388 19865485 23838582 39730970 47677164 59596455 79461940 119192910 238385820