Search a number
-
+
241422624 = 25322932861
BaseRepresentation
bin11100110001111…
…01000100100000
3121211021112120200
432120331010200
5443301010444
635542305200
75661026022
oct1630750440
9554245520
10241422624
11114305433
1268a28200
133b02b531
14240c6012
15162dc969
hexe63d120

241422624 has 72 divisors (see below), whose sum is σ = 689129532. Its totient is φ = 80171520.

The previous prime is 241422547. The next prime is 241422653. The reversal of 241422624 is 426224142.

241422624 is a `hidden beast` number, since 2 + 4 + 14 + 22 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219632400 + 21790224 = 14820^2 + 4668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82954 + ... + 85814.

Almost surely, 2241422624 is an apocalyptic number.

241422624 is a gapful number since it is divisible by the number (24) 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 241422624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344564766).

241422624 is an abundant number, since it is smaller than the sum of its proper divisors (447706908).

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

241422624 is a wasteful number, since it uses less digits than its factorization.

241422624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3159 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 241422624 is about 15537.7805364859. The cubic root of 241422624 is about 622.6719784181.

Adding to 241422624 its reverse (426224142), we get a palindrome (667646766).

The spelling of 241422624 in words is "two hundred forty-one million, four hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 2861 3516 4688 5274 5722 7032 8583 9376 10548 11444 14064 17166 21096 22888 25749 28128 34332 42192 45776 51498 68664 84384 91552 102996 137328 205992 274656 411984 823968 838273 1676546 2514819 3353092 5029638 6706184 7544457 10059276 13412368 15088914 20118552 26824736 30177828 40237104 60355656 80474208 120711312 241422624