Search a number
-
+
233219840 = 285726029
BaseRepresentation
bin11011110011010…
…10011100000000
3121020211210110212
431321222130000
5434201013330
635050413252
75531223140
oct1571523400
9536753425
10233219840
1110a712577
1266131228
1339418a09
1422d8c920
151571c295
hexde6a700

233219840 has 72 divisors (see below), whose sum is σ = 638463840. Its totient is φ = 79958016.

The previous prime is 233219837. The next prime is 233219863. The reversal of 233219840 is 48912332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 233219797 and 233219806.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4055 + ... + 21974.

Almost surely, 2233219840 is an apocalyptic number.

233219840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233219840 is an abundant number, since it is smaller than the sum of its proper divisors (405244000).

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

233219840 is an equidigital number, since it uses as much as digits as its factorization.

233219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26057 (or 26043 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 233219840 is about 15271.5369233093. The cubic root of 233219840 is about 615.5384184799.

The spelling of 233219840 in words is "two hundred thirty-three million, two hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 26029 52058 104116 130145 182203 208232 260290 364406 416464 520580 728812 832928 911015 1041160 1457624 1665856 1822030 2082320 2915248 3331712 3644060 4164640 5830496 6663424 7288120 8329280 11660992 14576240 16658560 23321984 29152480 33317120 46643968 58304960 116609920 233219840