Search a number
-
+
23227440 = 2435175693
BaseRepresentation
bin101100010011…
…0110000110000
31121201002001120
41120212300300
521421234230
62145502240
7401300325
oct130466060
947632046
1023227440
1112125135
127941980
134a73462
143128b4c
15208c310
hex1626c30

23227440 has 80 divisors (see below), whose sum is σ = 76254048. Its totient is φ = 5828608.

The previous prime is 23227433. The next prime is 23227441. The reversal of 23227440 is 4472232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23227440.

It is not an unprimeable number, because it can be changed into a prime (23227441) 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, 1234 + ... + 6926.

Almost surely, 223227440 is an apocalyptic number.

23227440 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 23227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38127024).

23227440 is an abundant number, since it is smaller than the sum of its proper divisors (53026608).

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

23227440 is a wasteful number, since it uses less digits than its factorization.

23227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 23227440 is about 4819.4854497135. The cubic root of 23227440 is about 285.3210294478.

Adding to 23227440 its reverse (4472232), we get a palindrome (27699672).

It can be divided in two parts, 232 and 27440, that added together give a palindrome (27672).

The spelling of 23227440 in words is "twenty-three million, two hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 5693 11386 17079 22772 28465 34158 45544 56930 68316 85395 91088 96781 113860 136632 170790 193562 227720 273264 290343 341580 387124 455440 483905 580686 683160 774248 967810 1161372 1366320 1451715 1548496 1935620 2322744 2903430 3871240 4645488 5806860 7742480 11613720 23227440