Search a number
-
+
3523220064 = 25357132383
BaseRepresentation
bin1101001000000000…
…0001001001100000
3100002112120010100000
43102000001021200
524203421020224
61341334500000
7153210606420
oct32200011140
910075503300
103523220064
111548847421
12823b04600
13441c09600
14255cc4480
151594970c9
hexd2001260

3523220064 has 432 divisors, whose sum is σ = 12891820032. Its totient is φ = 926774784.

The previous prime is 3523220059. The next prime is 3523220087. The reversal of 3523220064 is 4600223253.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198817 + ... + 9199199.

It is an arithmetic number, because the mean of its divisors is an integer number (29842176).

Almost surely, 23523220064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3523220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445910016).

3523220064 is an abundant number, since it is smaller than the sum of its proper divisors (9368599968).

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

3523220064 is a wasteful number, since it uses less digits than its factorization.

3523220064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3523220064 is about 59356.7187772370. The cubic root of 3523220064 is about 1521.6446971117.

The spelling of 3523220064 in words is "three billion, five hundred twenty-three million, two hundred twenty thousand, sixty-four".