Search a number
-
+
2251251464 = 237112457727
BaseRepresentation
bin1000011000101111…
…0101111100001000
312210220010102102212
42012023311330020
514102310021324
61011220044252
7106534215230
oct20613657410
95726112385
102251251464
11a55855600
12529b33688
1329b537577
14174dbccc0
15d299270e
hex862f5f08

2251251464 has 96 divisors (see below), whose sum is σ = 5321447040. Its totient is φ = 873987840.

The previous prime is 2251251463. The next prime is 2251251511. The reversal of 2251251464 is 4641521522.

It is a self number, because there is not a number n which added to its sum of digits gives 2251251464.

It is not an unprimeable number, because it can be changed into a prime (2251251463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3096269 + ... + 3096995.

It is an arithmetic number, because the mean of its divisors is an integer number (55431740).

Almost surely, 22251251464 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 2251251464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660723520).

2251251464 is an abundant number, since it is smaller than the sum of its proper divisors (3070195576).

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

2251251464 is a wasteful number, since it uses less digits than its factorization.

2251251464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1204 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 2251251464 is about 47447.3546575570. The cubic root of 2251251464 is about 1310.6135975208.

Adding to 2251251464 its reverse (4641521522), we get a palindrome (6892772986).

The spelling of 2251251464 in words is "two billion, two hundred fifty-one million, two hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 457 484 616 727 847 914 968 1454 1694 1828 2908 3199 3388 3656 5027 5089 5816 6398 6776 7997 10054 10178 12796 15994 20108 20356 25592 31988 35189 40216 40712 55297 55979 63976 70378 87967 110594 111958 140756 175934 221188 223916 281512 332239 351868 387079 442376 447832 615769 664478 703736 774158 1231538 1328956 1548316 2325673 2463076 2657912 3096632 3654629 4651346 4926152 7309258 9302692 14618516 18605384 25582403 29237032 40200919 51164806 80401838 102329612 160803676 204659224 281406433 321607352 562812866 1125625732 2251251464