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232623040 = 26513199281
BaseRepresentation
bin11011101110110…
…00101111000000
3121012201110211011
431313120233000
5434022414130
635025530304
75523156166
oct1567305700
9535643734
10232623040
1110a345151
1265aa3994
133926a190
1422c75236
151565052a
hexddd8bc0

232623040 has 112 divisors (see below), whose sum is σ = 601675200. Its totient is φ = 85155840.

The previous prime is 232623037. The next prime is 232623047. The reversal of 232623040 is 40326232.

It is a happy number.

It is a super-2 number, since 2×2326230402 = 108226957477683200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232623047) 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, 827700 + ... + 827980.

It is an arithmetic number, because the mean of its divisors is an integer number (5372100).

Almost surely, 2232623040 is an apocalyptic number.

232623040 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 232623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300837600).

232623040 is an abundant number, since it is smaller than the sum of its proper divisors (369052160).

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

232623040 is a wasteful number, since it uses less digits than its factorization.

232623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 232623040 is about 15251.9847888726. The cubic root of 232623040 is about 615.0129241341.

Adding to 232623040 its reverse (40326232), we get a palindrome (272949272).

The spelling of 232623040 in words is "two hundred thirty-two million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 199 208 260 281 320 398 416 520 562 796 832 995 1040 1124 1405 1592 1990 2080 2248 2587 2810 3184 3653 3980 4160 4496 5174 5620 6368 7306 7960 8992 10348 11240 12736 12935 14612 15920 17984 18265 20696 22480 25870 29224 31840 36530 41392 44960 51740 55919 58448 63680 73060 82784 89920 103480 111838 116896 146120 165568 206960 223676 233792 279595 292240 413920 447352 559190 584480 726947 827840 894704 1118380 1168960 1453894 1789408 2236760 2907788 3578816 3634735 4473520 5815576 7269470 8947040 11631152 14538940 17894080 23262304 29077880 46524608 58155760 116311520 232623040