Search a number
-
+
2312502632 = 2311223310253
BaseRepresentation
bin1000100111010101…
…1111110101101000
312222011101022020122
42021311133311220
514214000041012
61021244542412
7111206643116
oct21165376550
95864338218
102312502632
11a87390500
12546551a08
132ab131b6b
1417d1a4ab6
15d8040e72
hex89d5fd68

2312502632 has 48 divisors (see below), whose sum is σ = 4786874820. Its totient is φ = 1046524160.

The previous prime is 2312502631. The next prime is 2312502649. The reversal of 2312502632 is 2362052132.

It can be written as a sum of positive squares in 2 ways, for example, as 2000415076 + 312087556 = 44726^2 + 17666^2 .

It is not an unprimeable number, because it can be changed into a prime (2312502631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220418 + ... + 230670.

Almost surely, 22312502632 is an apocalyptic number.

2312502632 is a gapful number since it is divisible by the number (22) 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 2312502632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393437410).

2312502632 is an abundant number, since it is smaller than the sum of its proper divisors (2474372188).

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

2312502632 is a wasteful number, since it uses less digits than its factorization.

2312502632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2312502632 is about 48088.4875204035. The cubic root of 2312502632 is about 1322.3936198726.

Adding to 2312502632 its reverse (2362052132), we get a palindrome (4674554764).

The spelling of 2312502632 in words is "two billion, three hundred twelve million, five hundred two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 233 242 466 484 932 968 1864 2563 5126 10252 10253 20504 20506 28193 41012 56386 82024 112772 112783 225544 225566 451132 902264 1240613 2388949 2481226 4777898 4962452 9555796 9924904 19111592 26278439 52556878 105113756 210227512 289062829 578125658 1156251316 2312502632