Search a number
-
+
32210000232 = 23317237912253
BaseRepresentation
bin11101111111110111…
…011001100101101000
310002010202210112202120
4131333313121211220
51011431230001412
622444100031240
72220123325134
oct357767314550
9102122715676
1032210000232
1112729783a03
1262ab092520
1330641b8447
1417b7b6a3c4
15c87b6db8c
hex77fdd9968

32210000232 has 96 divisors (see below), whose sum is σ = 85773098400. Its totient is φ = 10077613056.

The previous prime is 32210000203. The next prime is 32210000233. The reversal of 32210000232 is 23200001223.

It is a super-2 number, since 2×322100002322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32210000233) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2622618 + ... + 2634870.

It is an arithmetic number, because the mean of its divisors is an integer number (893469775).

Almost surely, 232210000232 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 32210000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42886549200).

32210000232 is an abundant number, since it is smaller than the sum of its proper divisors (53563098168).

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

32210000232 is a wasteful number, since it uses less digits than its factorization.

32210000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 32210000232 its reverse (23200001223), we get a palindrome (55410001455).

Subtracting from 32210000232 its reverse (23200001223), we obtain a palindrome (9009999009).

The spelling of 32210000232 in words is "thirty-two billion, two hundred ten million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 379 408 578 758 867 1137 1156 1516 1734 2274 2312 3032 3468 4548 6443 6936 9096 12253 12886 19329 24506 25772 36759 38658 49012 51544 73518 77316 98024 109531 147036 154632 208301 219062 294072 328593 416602 438124 624903 657186 833204 876248 1249806 1314372 1666408 2499612 2628744 3541117 4643887 4999224 7082234 9287774 10623351 13931661 14164468 18575548 21246702 27863322 28328936 37151096 42493404 55726644 78946079 84986808 111453288 157892158 236838237 315784316 473676474 631568632 947352948 1342083343 1894705896 2684166686 4026250029 5368333372 8052500058 10736666744 16105000116 32210000232