Search a number
-
+
232333021333100 = 225228140120618651
BaseRepresentation
bin110100110100111000111111…
…001101001100011001101100
31010110121211010201120012222202
4310310320333031030121230
5220423021011430124400
62142044152212401032
766636335566106552
oct6464707715143154
91113554121505882
10232333021333100
11680349766a6816
1222083842916178
139c83baa09983c
144152d9a3a7bd2
151bcd7ad4d84d5
hexd34e3f34c66c

232333021333100 has 72 divisors (see below), whose sum is σ = 507218591776176. Its totient is φ = 92371552000000.

The previous prime is 232333021333099. The next prime is 232333021333103. The reversal of 232333021333100 is 1333120333232.

It is a super-2 number, since 2×2323330213331002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232333021333103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958775 + ... + 21577425.

It is an arithmetic number, because the mean of its divisors is an integer number (7044702663558).

Almost surely, 2232333021333100 is an apocalyptic number.

232333021333100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232333021333100 is an abundant number, since it is smaller than the sum of its proper divisors (274885570443076).

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

232333021333100 is a wasteful number, since it uses less digits than its factorization.

232333021333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20619347 (or 20619340 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 232333021333100 its reverse (1333120333232), we get a palindrome (233666141666332).

The spelling of 232333021333100 in words is "two hundred thirty-two trillion, three hundred thirty-three billion, twenty-one million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 401 562 802 1124 1405 1604 2005 2810 4010 5620 7025 8020 10025 14050 20050 28100 40100 112681 225362 450724 563405 1126810 2253620 2817025 5634050 11268100 20618651 41237302 82474604 103093255 206186510 412373020 515466275 1030932550 2061865100 5793840931 8268079051 11587681862 16536158102 23175363724 28969204655 33072316204 41340395255 57938409310 82680790510 115876818620 144846023275 165361581020 206701976275 289692046550 413403952550 579384093100 826807905100 2323330213331 4646660426662 9293320853324 11616651066655 23233302133310 46466604266620 58083255333275 116166510666550 232333021333100