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233301140240340 = 223532511196048089
BaseRepresentation
bin110101000010111110100111…
…100101101111011111010100
31010121001101000121002022221110
4311002332213211233133110
5221034401213400142330
62144105021512415020
7100066310513045364
oct6502764745573724
91117041017068843
10233301140240340
1168378504576867
12221bb3a79a7470
13a024284359643
144187b9a6209a4
151be8a70deedb0
hexd42fa796f7d4

233301140240340 has 48 divisors (see below), whose sum is σ = 653444129298240. Its totient is φ = 62194500576000.

The previous prime is 233301140240327. The next prime is 233301140240347. The reversal of 233301140240340 is 43042041103332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 233301140240298 and 233301140240307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233301140240347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597828985 + ... + 598219104.

It is an arithmetic number, because the mean of its divisors is an integer number (13613419360380).

Almost surely, 2233301140240340 is an apocalyptic number.

233301140240340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233301140240340 is an abundant number, since it is smaller than the sum of its proper divisors (420142989057900).

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

233301140240340 is a wasteful number, since it uses less digits than its factorization.

233301140240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196051352 (or 1196051350 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 233301140240340 its reverse (43042041103332), we get a palindrome (276343181343672).

The spelling of 233301140240340 in words is "two hundred thirty-three trillion, three hundred one billion, one hundred forty million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3251 6502 9753 13004 16255 19506 32510 39012 48765 65020 97530 195060 1196048089 2392096178 3588144267 4784192356 5980240445 7176288534 11960480890 14352577068 17940721335 23920961780 35881442670 71762885340 3888352337339 7776704674678 11665057012017 15553409349356 19441761686695 23330114024034 38883523373390 46660228048068 58325285060085 77767046746780 116650570120170 233301140240340