Search a number
-
+
32251020000 = 253544671151
BaseRepresentation
bin11110000010010011…
…111000001011100000
310002020121222120022020
4132002103320023200
51012022230120000
622452123141440
72221132101243
oct360223701340
9102217876266
1032251020000
111274a950741
126300974880
13306c84b1b4
1417bd3a725a
15c8b572ba0
hex7824f82e0

32251020000 has 240 divisors, whose sum is σ = 106108434432. Its totient is φ = 8574400000.

The previous prime is 32251019959. The next prime is 32251020001. The reversal of 32251020000 is 2015223.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32251020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28019425 + ... + 28020575.

Almost surely, 232251020000 is an apocalyptic number.

32251020000 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 32251020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53054217216).

32251020000 is an abundant number, since it is smaller than the sum of its proper divisors (73857414432).

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

32251020000 is a wasteful number, since it uses less digits than its factorization.

32251020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 32251020000 its reverse (2015223), we get a palindrome (32253035223).

The spelling of 32251020000 in words is "thirty-two billion, two hundred fifty-one million, twenty thousand".