Search a number
-
+
3223493280 = 253357374367
BaseRepresentation
bin1100000000100010…
…1001101010100000
322022122120102111000
43000020221222200
523100203241110
61251510352000
7142611145410
oct30010515240
98278512430
103223493280
11140463a237
1275b65b600
133c4aa5c97
14228182640
1513cede1c0
hexc0229aa0

3223493280 has 768 divisors, whose sum is σ = 13752668160. Its totient is φ = 689762304.

The previous prime is 3223493269. The next prime is 3223493281. The reversal of 3223493280 is 823943223.

3223493280 is a `hidden beast` number, since 32 + 2 + 349 + 3 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3223493281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48111807 + ... + 48111873.

It is an arithmetic number, because the mean of its divisors is an integer number (17907120).

Almost surely, 23223493280 is an apocalyptic number.

3223493280 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 3223493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876334080).

3223493280 is an abundant number, since it is smaller than the sum of its proper divisors (10529174880).

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

3223493280 is a wasteful number, since it uses less digits than its factorization.

3223493280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3223493280 is about 56775.8159782843. The cubic root of 3223493280 is about 1477.2100593167.

The spelling of 3223493280 in words is "three billion, two hundred twenty-three million, four hundred ninety-three thousand, two hundred eighty".