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235423223235040 = 25522959471108041
BaseRepresentation
bin110101100001110110111101…
…100101111100000111100000
31010212120020111012121212221211
4311201312331211330013200
5221324133230122010130
62152411534035555504
7100405523636635621
oct6541667545740740
91125506435555854
10235423223235040
1169016479055495
12224a272115bb94
13a1494124c08c9
14421c78ad17a48
151c33d71b8ba2a
hexd61dbd97c1e0

235423223235040 has 96 divisors (see below), whose sum is σ = 558630694258560. Its totient is φ = 93755625369600.

The previous prime is 235423223234981. The next prime is 235423223235047. The reversal of 235423223235040 is 40532322324532.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 235423223234984 and 235423223235002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235423223235047) 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, 2178963420 + ... + 2179071460.

It is an arithmetic number, because the mean of its divisors is an integer number (5819069731860).

Almost surely, 2235423223235040 is an apocalyptic number.

235423223235040 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 235423223235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279315347129280).

235423223235040 is an abundant number, since it is smaller than the sum of its proper divisors (323207471023520).

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

235423223235040 is a wasteful number, since it uses less digits than its factorization.

235423223235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167756 (or 167748 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 40.

Adding to 235423223235040 its reverse (40532322324532), we get a palindrome (275955545559572).

The spelling of 235423223235040 in words is "two hundred thirty-five trillion, four hundred twenty-three billion, two hundred twenty-three million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 916 1145 1832 2290 3664 4580 7328 9160 18320 36640 59471 108041 118942 216082 237884 297355 432164 475768 540205 594710 864328 951536 1080410 1189420 1728656 1903072 2160820 2378840 3457312 4321640 4757680 8643280 9515360 13618859 17286560 24741389 27237718 49482778 54475436 68094295 98965556 108950872 123706945 136188590 197931112 217901744 247413890 272377180 395862224 435803488 494827780 544754360 791724448 989655560 1089508720 1979311120 2179017440 3958622240 6425306311 12850612622 25701225244 32126531555 51402450488 64253063110 102804900976 128506126220 205609801952 257012252440 514024504880 1028049009760 1471395145219 2942790290438 5885580580876 7356975726095 11771161161752 14713951452190 23542322323504 29427902904380 47084644647008 58855805808760 117711611617520 235423223235040