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233014340 = 225134791871
BaseRepresentation
bin11011110001110…
…00010001000100
3121020110100120202
431320320101010
5434122424330
635042150032
75526406046
oct1570702104
9536410522
10233014340
1110a592139
1266052318
1339376310
1422d37a96
15156cb445
hexde38444

233014340 has 48 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 85810560.

The previous prime is 233014319. The next prime is 233014349. The reversal of 233014340 is 43410332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (233014349) 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, 123605 + ... + 125475.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2233014340 is an apocalyptic number.

233014340 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 233014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

233014340 is an abundant number, since it is smaller than the sum of its proper divisors (295338940).

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

233014340 is a wasteful number, since it uses less digits than its factorization.

233014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 233014340 is about 15264.8072375644. The cubic root of 233014340 is about 615.3575729222.

Adding to 233014340 its reverse (43410332), we get a palindrome (276424672).

The spelling of 233014340 in words is "two hundred thirty-three million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 479 958 1871 1916 2395 3742 4790 6227 7484 9355 9580 12454 18710 24323 24908 31135 37420 48646 62270 97292 121615 124540 243230 486460 896209 1792418 3584836 4481045 8962090 11650717 17924180 23301434 46602868 58253585 116507170 233014340