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233014420 = 22529439343
BaseRepresentation
bin11011110001110…
…00010010010100
3121020110100200201
431320320102110
5434122430140
635042150244
75526406222
oct1570702224
9536410621
10233014420
1110a592201
1266052384
1339376372
1422d37b12
15156cb49a
hexde38494

233014420 has 48 divisors (see below), whose sum is σ = 518031360. Its totient is φ = 87889536.

The previous prime is 233014399. The next prime is 233014421. The reversal of 233014420 is 24410332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233014421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20269 + ... + 29611.

It is an arithmetic number, because the mean of its divisors is an integer number (10792320).

Almost surely, 2233014420 is an apocalyptic number.

233014420 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 233014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259015680).

233014420 is an abundant number, since it is smaller than the sum of its proper divisors (285016940).

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

233014420 is a wasteful number, since it uses less digits than its factorization.

233014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 233014420 is about 15264.8098579707. The cubic root of 233014420 is about 615.3576433451.

Adding to 233014420 its reverse (24410332), we get a palindrome (257424752).

The spelling of 233014420 in words is "two hundred thirty-three million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 2494 4988 6235 9343 12470 18686 24940 37372 46715 93430 186860 270947 401749 541894 803498 1083788 1354735 1606996 2008745 2709470 4017490 5418940 8034980 11650721 23301442 46602884 58253605 116507210 233014420