Search a number
-
+
3213996192 = 253311271433
BaseRepresentation
bin1011111110010001…
…1011000010100000
322021222200220221000
42333210123002200
523040240334232
61250531032000
7142434342201
oct27744330240
98258626830
103213996192
1113aa242a00
1275843b600
133c2b2c2c4
14226bcd5a8
1513c26527c
hexbf91b0a0

3213996192 has 288 divisors, whose sum is σ = 10473079680. Its totient is φ = 958003200.

The previous prime is 3213996173. The next prime is 3213996211. The reversal of 3213996192 is 2916993123.

3213996192 is a `hidden beast` number, since 3 + 21 + 3 + 9 + 9 + 619 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3213996173) and next prime (3213996211).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7422408 + ... + 7422840.

It is an arithmetic number, because the mean of its divisors is an integer number (36364860).

Almost surely, 23213996192 is an apocalyptic number.

3213996192 is a gapful number since it is divisible by the number (32) 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 3213996192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236539840).

3213996192 is an abundant number, since it is smaller than the sum of its proper divisors (7259083488).

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

3213996192 is a wasteful number, since it uses less digits than its factorization.

3213996192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 520 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 3213996192 is about 56692.1175473275. The cubic root of 3213996192 is about 1475.7579086059.

The spelling of 3213996192 in words is "three billion, two hundred thirteen million, nine hundred ninety-six thousand, one hundred ninety-two".