Search a number
-
+
3221241000 = 2335319311823
BaseRepresentation
bin1100000000000000…
…0011110010101000
322022111022222221020
43000000003302220
523044114203000
61251350212440
7142553045115
oct30000036250
98274288836
103221241000
11140334104a
1275a954120
133c4497a83
14227b5790c
1513cbe6ba0
hexc0003ca8

3221241000 has 256 divisors, whose sum is σ = 10926489600. Its totient is φ = 787104000.

The previous prime is 3221240993. The next prime is 3221241007. The reversal of 3221241000 is 1421223.

It is an interprime number because it is at equal distance from previous prime (3221240993) and next prime (3221241007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3221241007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766089 + ... + 1767911.

It is an arithmetic number, because the mean of its divisors is an integer number (42681600).

Almost surely, 23221241000 is an apocalyptic number.

3221241000 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 3221241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463244800).

3221241000 is an abundant number, since it is smaller than the sum of its proper divisors (7705248600).

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

3221241000 is a wasteful number, since it uses less digits than its factorization.

3221241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3221241000 is about 56755.9776587453. The cubic root of 3221241000 is about 1476.8659330772.

Adding to 3221241000 its reverse (1421223), we get a palindrome (3222662223).

The spelling of 3221241000 in words is "three billion, two hundred twenty-one million, two hundred forty-one thousand".