Search a number
-
+
238145772 = 223192345413
BaseRepresentation
bin11100011000111…
…01000011101100
3121121010001120210
432030131003230
5441431131042
635344142420
75621130354
oct1614350354
9547101523
10238145772
11112477497
1267907a10
133a451b77
14238b1b64
1515d91a9c
hexe31d0ec

238145772 has 48 divisors (see below), whose sum is σ = 610364160. Its totient is φ = 71932608.

The previous prime is 238145723. The next prime is 238145777. The reversal of 238145772 is 277541832.

238145772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 238145772.

It is not an unprimeable number, because it can be changed into a prime (238145777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17463 + ... + 27950.

It is an arithmetic number, because the mean of its divisors is an integer number (12715920).

Almost surely, 2238145772 is an apocalyptic number.

It is an amenable number.

238145772 is an abundant number, since it is smaller than the sum of its proper divisors (372218388).

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

238145772 is a wasteful number, since it uses less digits than its factorization.

238145772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45462 (or 45460 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 238145772 is about 15431.9723949986. The cubic root of 238145772 is about 619.8419402843.

The spelling of 238145772 in words is "two hundred thirty-eight million, one hundred forty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 45413 90826 136239 181652 272478 544956 862847 1044499 1725694 2088998 2588541 3133497 3451388 4177996 5177082 6266994 10354164 12533988 19845481 39690962 59536443 79381924 119072886 238145772