Search a number
-
+
235828152 = 23337198209
BaseRepresentation
bin11100000111001…
…11001110111000
3121102202022102000
432003213032320
5440333000102
635222341000
75562335430
oct1603471670
9542668360
10235828152
111111341aa
1266b8a760
1339b1ccb1
142346b2c0
1515a8501c
hexe0e73b8

235828152 has 128 divisors (see below), whose sum is σ = 788160000. Its totient is φ = 63825408.

The previous prime is 235828127. The next prime is 235828207. The reversal of 235828152 is 251828532.

235828152 is a `hidden beast` number, since 23 + 582 + 8 + 1 + 52 = 666.

It is a super-2 number, since 2×2358281522 = 111229834551470208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24624 + ... + 32832.

It is an arithmetic number, because the mean of its divisors is an integer number (6157500).

Almost surely, 2235828152 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 235828152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394080000).

235828152 is an abundant number, since it is smaller than the sum of its proper divisors (552331848).

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

235828152 is a wasteful number, since it uses less digits than its factorization.

235828152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8240 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 235828152 is about 15356.6973011778. The cubic root of 235828152 is about 617.8246273993.

The spelling of 235828152 in words is "two hundred thirty-five million, eight hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 8209 9576 14364 16418 24627 28728 32836 49254 57463 65672 73881 98508 114926 147762 155971 172389 197016 221643 229852 295524 311942 344778 443286 459704 467913 517167 591048 623884 689556 886572 935826 1034334 1091797 1247768 1379112 1403739 1551501 1773144 1871652 2068668 2183594 2807478 3103002 3275391 3743304 4137336 4211217 4367188 5614956 6206004 6550782 8422434 8734376 9826173 11229912 12412008 13101564 16844868 19652346 26203128 29478519 33689736 39304692 58957038 78609384 117914076 235828152