Search a number
-
+
172230500736 = 27327291076883
BaseRepresentation
bin1010000001100110111…
…1001110000110000000
3121110120001001221220200
42200121233032012000
510310212002010421
6211042133205200
715305014046520
oct2403157160600
9543501057820
10172230500736
116705169a408
1229467790800
131331a0a75c8
14849bdb3680
15473058e726
hex2819bce180

172230500736 has 384 divisors, whose sum is σ = 591506323200. Its totient is φ = 47060987904.

The previous prime is 172230500731. The next prime is 172230500737. The reversal of 172230500736 is 637005032271.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172230500736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172230500731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25019151 + ... + 25026033.

It is an arithmetic number, because the mean of its divisors is an integer number (1540381050).

Almost surely, 2172230500736 is an apocalyptic number.

172230500736 is a gapful number since it is divisible by the number (16) 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 172230500736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295753161600).

172230500736 is an abundant number, since it is smaller than the sum of its proper divisors (419275822464).

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

172230500736 is a wasteful number, since it uses less digits than its factorization.

172230500736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 172230500736 in words is "one hundred seventy-two billion, two hundred thirty million, five hundred thousand, seven hundred thirty-six".