Search a number
-
+
3564495228 = 2237192414761
BaseRepresentation
bin1101010001110101…
…1110000101111100
3100012102020010012210
43110131132011330
524300002321403
61345411300420
7154221465240
oct32435360574
910172203183
103564495228
11156a079028
128358aa710
1344a62b698
1425b58a420
1515cdebb03
hexd475e17c

3564495228 has 288 divisors, whose sum is σ = 10667317248. Its totient is φ = 906163200.

The previous prime is 3564495211. The next prime is 3564495229. The reversal of 3564495228 is 8225944653.

It is a happy number.

Its product of digits (2073600) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564495229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58434318 + ... + 58434378.

It is an arithmetic number, because the mean of its divisors is an integer number (37039296).

Almost surely, 23564495228 is an apocalyptic number.

3564495228 is a gapful number since it is divisible by the number (38) 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 3564495228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333658624).

3564495228 is an abundant number, since it is smaller than the sum of its proper divisors (7102822020).

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

3564495228 is a wasteful number, since it uses less digits than its factorization.

3564495228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 3564495228 is about 59703.3937728836. The cubic root of 3564495228 is about 1527.5637574630.

The spelling of 3564495228 in words is "three billion, five hundred sixty-four million, four hundred ninety-five thousand, two hundred twenty-eight".