Search a number
-
+
1225532352 = 263113715683
BaseRepresentation
bin100100100001100…
…0010001111000000
310011102001111100010
41021003002033000
510002214013402
6321335224520
742240565422
oct11103021700
93142044303
101225532352
11579865660
122a2518140
13166b93a95
14b8a98812
15728d0a6c
hex490c23c0

1225532352 has 112 divisors (see below), whose sum is σ = 3633167232. Its totient is φ = 361313280.

The previous prime is 1225532351. The next prime is 1225532359. The reversal of 1225532352 is 2532355221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225532351) 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, 70303 + ... + 85985.

Almost surely, 21225532352 is an apocalyptic number.

1225532352 is a gapful number since it is divisible by the number (12) 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 1225532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816583616).

1225532352 is an abundant number, since it is smaller than the sum of its proper divisors (2407634880).

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

1225532352 is a wasteful number, since it uses less digits than its factorization.

1225532352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15746 (or 15736 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 1225532352 is about 35007.6042025158. The cubic root of 1225532352 is about 1070.1424540298.

Adding to 1225532352 its reverse (2532355221), we get a palindrome (3757887573).

The spelling of 1225532352 in words is "one billion, two hundred twenty-five million, five hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 704 814 888 1056 1184 1221 1628 1776 2112 2368 2442 3256 3552 4884 6512 7104 9768 13024 15683 19536 26048 31366 39072 47049 62732 78144 94098 125464 172513 188196 250928 345026 376392 501856 517539 580271 690052 752784 1003712 1035078 1160542 1380104 1505568 1740813 2070156 2321084 2760208 3011136 3481626 4140312 4642168 5520416 6382981 6963252 8280624 9284336 11040832 12765962 13926504 16561248 18568672 19148943 25531924 27853008 33122496 37137344 38297886 51063848 55706016 76595772 102127696 111412032 153191544 204255392 306383088 408510784 612766176 1225532352