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235423601020 = 225231974675563
BaseRepresentation
bin1101101101000001010…
…1110001000101111100
3211111200002001001210101
43123100111301011330
512324121420213040
6300052504450444
723003005406506
oct3332025610574
9744602031711
10235423601020
119092a537a23
1239762a79a24
131927b22893a
14b574976d76
1561cd2cb09a
hex36d057117c

235423601020 has 96 divisors (see below), whose sum is σ = 519707155968. Its totient is φ = 89409906432.

The previous prime is 235423601011. The next prime is 235423601051. The reversal of 235423601020 is 20106324532.

235423601020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 235423601020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42316759 + ... + 42322321.

It is an arithmetic number, because the mean of its divisors is an integer number (5413616208).

Almost surely, 2235423601020 is an apocalyptic number.

235423601020 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 235423601020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259853577984).

235423601020 is an abundant number, since it is smaller than the sum of its proper divisors (284283554948).

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

235423601020 is a wasteful number, since it uses less digits than its factorization.

235423601020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 235423601020 its reverse (20106324532), we get a palindrome (255529925552).

The spelling of 235423601020 in words is "two hundred thirty-five billion, four hundred twenty-three million, six hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 197 230 394 460 467 788 934 985 1868 1970 2335 3940 4531 4670 5563 9062 9340 10741 11126 18124 21482 22252 22655 27815 42964 45310 53705 55630 90620 91999 107410 111260 127949 183998 214820 255898 367996 459995 511796 639745 919990 1095911 1279490 1839980 2115977 2191822 2558980 2597921 4231954 4383644 5195842 5479555 8463908 10391684 10579885 10959110 12989605 21159770 21918220 25205953 25979210 42319540 50411906 51958420 59752183 100823812 119504366 126029765 239008732 252059530 298760915 504119060 511790437 597521830 1023580874 1195043660 2047161748 2558952185 5117904370 10235808740 11771180051 23542360102 47084720204 58855900255 117711800510 235423601020