Search a number
-
+
232888168950 = 235219241339067
BaseRepresentation
bin1101100011100100110…
…1110111000111110110
3211021010101011202211220
43120321031313013312
512303423332401300
6254553133411210
722553120526333
oct3307115670766
9737111152756
10232888168950
118a849333318
1239175939b06
1318c65b71b88
14b3b3d4198a
1560d0901da0
hex36393771f6

232888168950 has 96 divisors (see below), whose sum is σ = 610485152640. Its totient is φ = 58590604800.

The previous prime is 232888168943. The next prime is 232888168957. The reversal of 232888168950 is 59861888232.

It is an interprime number because it is at equal distance from previous prime (232888168943) and next prime (232888168957).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232888168957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517317 + ... + 856383.

It is an arithmetic number, because the mean of its divisors is an integer number (6359220340).

Almost surely, 2232888168950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232888168950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305242576320).

232888168950 is an abundant number, since it is smaller than the sum of its proper divisors (377596983690).

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

232888168950 is a wasteful number, since it uses less digits than its factorization.

232888168950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339342 (or 339337 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 232888168950 in words is "two hundred thirty-two billion, eight hundred eighty-eight million, one hundred sixty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 241 285 475 482 570 723 950 1205 1425 1446 2410 2850 3615 4579 6025 7230 9158 12050 13737 18075 22895 27474 36150 45790 68685 114475 137370 228950 339067 343425 678134 686850 1017201 1695335 2034402 3390670 5086005 6442273 8476675 10172010 12884546 16953350 19326819 25430025 32211365 38653638 50860050 64422730 81715147 96634095 161056825 163430294 193268190 245145441 322113650 408575735 483170475 490290882 817151470 966340950 1225727205 1552587793 2042878675 2451454410 3105175586 4085757350 4657763379 6128636025 7762938965 9315526758 12257272050 15525877930 23288816895 38814694825 46577633790 77629389650 116444084475 232888168950