Search a number
-
+
32220213032 = 2372367223963
BaseRepresentation
bin11110000000011110…
…010110111100101000
310002011111000102002102
4132000132112330220
51011441333304112
622445102552532
72220306202100
oct360036267450
9102144012072
1032220213032
1112734519a37
1262b2598748
133066352b17
1417b9268200
15c889d9bc2
hex780796f28

32220213032 has 48 divisors (see below), whose sum is σ = 70468032960. Its totient is φ = 13770975456.

The previous prime is 32220213019. The next prime is 32220213061. The reversal of 32220213032 is 23031202223.

It is a junction number, because it is equal to n+sod(n) for n = 32220212995 and 32220213013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31883 + ... + 255845.

It is an arithmetic number, because the mean of its divisors is an integer number (1468084020).

Almost surely, 232220213032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32220213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234016480).

32220213032 is an abundant number, since it is smaller than the sum of its proper divisors (38247819928).

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

32220213032 is a wasteful number, since it uses less digits than its factorization.

32220213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224350 (or 224339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32220213032 its reverse (23031202223), we get a palindrome (55251415255).

The spelling of 32220213032 in words is "thirty-two billion, two hundred twenty million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 367 392 734 1468 2569 2936 5138 10276 17983 20552 35966 71932 143864 223963 447926 895852 1567741 1791704 3135482 6270964 10974187 12541928 21948374 43896748 82194421 87793496 164388842 328777684 575360947 657555368 1150721894 2301443788 4027526629 4602887576 8055053258 16110106516 32220213032