Search a number
-
+
235401012 = 223371128307
BaseRepresentation
bin11100000011111…
…10111100110100
3121101221121111000
432001332330310
5440230313022
635205243300
75555606220
oct1601767464
9541847430
10235401012
111109722a0
1266a03530
1339a00752
1423399780
15159ed6ac
hexe07ef34

235401012 has 96 divisors (see below), whose sum is σ = 760919040. Its totient is φ = 61140960.

The previous prime is 235401007. The next prime is 235401053. The reversal of 235401012 is 210104532.

235401012 is a `hidden beast` number, since 23 + 540 + 101 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5838 + ... + 22469.

It is an arithmetic number, because the mean of its divisors is an integer number (7926240).

Almost surely, 2235401012 is an apocalyptic number.

235401012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

235401012 is an abundant number, since it is smaller than the sum of its proper divisors (525518028).

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

235401012 is a wasteful number, since it uses less digits than its factorization.

235401012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28338 (or 28330 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 235401012 is about 15342.7837109177. The cubic root of 235401012 is about 617.4513936182.

Adding to 235401012 its reverse (210104532), we get a palindrome (445505544).

The spelling of 235401012 in words is "two hundred thirty-five million, four hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 28307 56614 84921 113228 169842 198149 254763 311377 339684 396298 509526 594447 622754 764289 792596 934131 1019052 1188894 1245508 1528578 1783341 1868262 2179639 2377788 2802393 3057156 3566682 3736524 4359278 5350023 5604786 6538917 7133364 8407179 8718556 10700046 11209572 13077834 16814358 19616751 21400092 26155668 33628716 39233502 58850253 78467004 117700506 235401012