Search a number
-
+
10232251432 = 23133715716937
BaseRepresentation
bin10011000011110001…
…11100010000101000
3222102002210020012021
421201320330100220
5131423424021212
64411200354224
7511364462554
oct114170742050
928362706167
1010232251432
114380925a47
121b96915974
13c70b57460
146d0d3c864
153ed488307
hex261e3c428

10232251432 has 64 divisors (see below), whose sum is σ = 21356107920. Its totient is φ = 4565403648.

The previous prime is 10232251429. The next prime is 10232251433. The reversal of 10232251432 is 23415223201.

It can be written as a sum of positive squares in 8 ways, for example, as 3582501316 + 6649750116 = 59854^2 + 81546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10232251397 and 10232251406.

It is not an unprimeable number, because it can be changed into a prime (10232251433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595668 + ... + 612604.

Almost surely, 210232251432 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 10232251432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10678053960).

10232251432 is an abundant number, since it is smaller than the sum of its proper divisors (11123856488).

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

10232251432 is a wasteful number, since it uses less digits than its factorization.

10232251432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17150 (or 17146 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10232251432 its reverse (23415223201), we get a palindrome (33647474633).

The spelling of 10232251432 in words is "ten billion, two hundred thirty-two million, two hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 157 296 314 481 628 962 1256 1924 2041 3848 4082 5809 8164 11618 16328 16937 23236 33874 46472 67748 75517 135496 151034 220181 302068 440362 604136 626669 880724 1253338 1761448 2506676 2659109 5013352 5318218 8146697 10636436 16293394 21272872 32586788 34568417 65173576 69136834 98387033 138273668 196774066 276547336 393548132 787096264 1279031429 2558062858 5116125716 10232251432