Search a number
-
+
32213210232000 = 263537434459193
BaseRepresentation
bin1110101001100001110001…
…11100111111010011000000
311020001112221000012121111110
413110300320330333103000
513210240123304411000
6152302313335243320
76533220244100220
oct724607074772300
9136045830177443
1032213210232000
11a29a600419946
123743176b19540
1314c8900ac1ac5
147d51b0570080
153ace15d58850
hex1d4c38f3f4c0

32213210232000 has 448 divisors, whose sum is σ = 124390536551424. Its totient is φ = 7191784857600.

The previous prime is 32213210231929. The next prime is 32213210232059. The reversal of 32213210232000 is 23201231223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4994404 + ... + 9453596.

Almost surely, 232213210232000 is an apocalyptic number.

32213210232000 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 32213210232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62195268275712).

32213210232000 is an abundant number, since it is smaller than the sum of its proper divisors (92177326319424).

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

32213210232000 is a wasteful number, since it uses less digits than its factorization.

32213210232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459273 (or 4459253 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32213210232000 its reverse (23201231223), we get a palindrome (32236411463223).

The spelling of 32213210232000 in words is "thirty-two trillion, two hundred thirteen billion, two hundred ten million, two hundred thirty-two thousand".