Search a number
-
+
23238240 = 253548413
BaseRepresentation
bin101100010100…
…1011001100000
31121201121212120
41120221121200
521422110430
62150024240
7401343654
oct130513140
947647776
1023238240
1112132263
127948080
134a7834c
14312ca64
152090610
hex1629660

23238240 has 48 divisors (see below), whose sum is σ = 73201968. Its totient is φ = 6196736.

The previous prime is 23238203. The next prime is 23238253. The reversal of 23238240 is 4283232.

It is a tau number, because it is divible by the number of its divisors (48).

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 23238240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23727 + ... + 24686.

It is an arithmetic number, because the mean of its divisors is an integer number (1525041).

Almost surely, 223238240 is an apocalyptic number.

23238240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23238240 is an abundant number, since it is smaller than the sum of its proper divisors (49963728).

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

23238240 is a wasteful number, since it uses less digits than its factorization.

23238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48431 (or 48423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23238240 is about 4820.6057710624. The cubic root of 23238240 is about 285.3652442450.

The spelling of 23238240 in words is "twenty-three million, two hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 48413 96826 145239 193652 242065 290478 387304 484130 580956 726195 774608 968260 1161912 1452390 1549216 1936520 2323824 2904780 3873040 4647648 5809560 7746080 11619120 23238240