Search a number
-
+
32232480 = 2535753181
BaseRepresentation
bin111101011110…
…1010000100000
32020122120122120
41322331100200
531222414410
63110504240
7540654150
oct172752040
966576576
1032232480
1117215815
12a965080
1368a7197
1443d0760
152c6a570
hex1ebd420

32232480 has 192 divisors, whose sum is σ = 118879488. Its totient is φ = 7188480.

The previous prime is 32232479. The next prime is 32232481. The reversal of 32232480 is 8423223.

It is an interprime number because it is at equal distance from previous prime (32232479) and next prime (32232481).

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 32232480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32232481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177990 + ... + 178170.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 232232480 is an apocalyptic number.

32232480 is a gapful number since it is divisible by the number (30) 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 32232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

32232480 is an abundant number, since it is smaller than the sum of its proper divisors (86647008).

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

32232480 is a wasteful number, since it uses less digits than its factorization.

32232480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

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

The square root of 32232480 is about 5677.3655862557. The cubic root of 32232480 is about 318.2471872619.

The spelling of 32232480 in words is "thirty-two million, two hundred thirty-two thousand, four hundred eighty".