Search a number
-
+
3211230000 = 243541137263
BaseRepresentation
bin1011111101100111…
…0111101100110000
322021210111101102110
42333121313230300
523034033330000
61250351445320
7142402001406
oct27731675460
98253441373
103211230000
1113a87236a0
12757526840
133c23a11c4
142266ad476
1513bdba850
hexbf677b30

3211230000 has 400 divisors, whose sum is σ = 11658468096. Its totient is φ = 754560000.

The previous prime is 3211229933. The next prime is 3211230047. The reversal of 3211230000 is 321123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×32112300002 = 20623996225800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12209869 + ... + 12210131.

Almost surely, 23211230000 is an apocalyptic number.

3211230000 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 3211230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829234048).

3211230000 is an abundant number, since it is smaller than the sum of its proper divisors (8447238096).

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

3211230000 is a wasteful number, since it uses less digits than its factorization.

3211230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3211230000 is about 56667.7156765649. The cubic root of 3211230000 is about 1475.3344066072.

Adding to 3211230000 its reverse (321123), we get a palindrome (3211551123).

3211230000 divided by its reverse (321123) gives a 4-th power (10000 = 104).

It can be divided in two parts, 321 and 1230000, that added together give a palindrome (1230321).

The spelling of 3211230000 in words is "three billion, two hundred eleven million, two hundred thirty thousand".