Search a number
-
+
23333420 = 22511671583
BaseRepresentation
bin101100100000…
…0101000101100
31121220110102202
41121000220230
521433132140
62152041032
7402221315
oct131005054
947813382
1023333420
1112197820
127993178
134aac776
14315560c
1520ad915
hex1640a2c

23333420 has 48 divisors (see below), whose sum is σ = 54286848. Its totient is φ = 8352960.

The previous prime is 23333417. The next prime is 23333423. The reversal of 23333420 is 2433332.

It is an interprime number because it is at equal distance from previous prime (23333417) and next prime (23333423).

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

It is a junction number, because it is equal to n+sod(n) for n = 23333392 and 23333401.

It is not an unprimeable number, because it can be changed into a prime (23333423) 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, 13949 + ... + 15531.

It is an arithmetic number, because the mean of its divisors is an integer number (1130976).

Almost surely, 223333420 is an apocalyptic number.

23333420 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 23333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27143424).

23333420 is an abundant number, since it is smaller than the sum of its proper divisors (30953428).

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

23333420 is a wasteful number, since it uses less digits than its factorization.

23333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 23333420 is about 4830.4678862404. The cubic root of 23333420 is about 285.7543165340.

Adding to 23333420 its reverse (2433332), we get a palindrome (25766752).

The spelling of 23333420 in words is "twenty-three million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 1583 2948 3166 3685 6332 7370 7915 14740 15830 17413 31660 34826 69652 87065 106061 174130 212122 348260 424244 530305 1060610 1166671 2121220 2333342 4666684 5833355 11666710 23333420