Search a number
-
+
2503252232 = 2313314571699
BaseRepresentation
bin1001010100110100…
…1001100100001000
320110110022101111122
42111031021210020
520111313032412
61052221214412
7116014202315
oct22515114410
96413271448
102503252232
1110750254a8
1259a401408
1330b7ca850
1419a659d0c
15e9b6e572
hex95349908

2503252232 has 64 divisors (see below), whose sum is σ = 5232192000. Its totient is φ = 1114974720.

The previous prime is 2503252229. The next prime is 2503252237. The reversal of 2503252232 is 2322523052.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2503252237) 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, 1472519 + ... + 1474217.

It is an arithmetic number, because the mean of its divisors is an integer number (81753000).

Almost surely, 22503252232 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 2503252232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616096000).

2503252232 is an abundant number, since it is smaller than the sum of its proper divisors (2728939768).

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

2503252232 is a wasteful number, since it uses less digits than its factorization.

2503252232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 2503252232 is about 50032.5117498612. The cubic root of 2503252232 is about 1357.7970810002.

Adding to 2503252232 its reverse (2322523052), we get a palindrome (4825775284).

The spelling of 2503252232 in words is "two billion, five hundred three million, two hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 457 806 914 1612 1699 1828 3224 3398 3656 5941 6796 11882 13592 14167 22087 23764 28334 44174 47528 52669 56668 88348 105338 113336 176696 184171 210676 368342 421352 684697 736684 776443 1369394 1473368 1552886 2738788 3105772 5477576 6211544 10093759 20187518 24069733 40375036 48139466 80750072 96278932 192557864 312906529 625813058 1251626116 2503252232