Search a number
-
+
2225504352 = 25319264217
BaseRepresentation
bin1000010010100110…
…1000000001100000
312202002200100001010
42010221220001200
514024212114402
61004500140520
7106102321611
oct20451500140
95662610033
102225504352
11a4226a3a5
12521397740
132960c12a6
141717d9c08
15d05a8a6c
hex84a68060

2225504352 has 72 divisors (see below), whose sum is σ = 6165698616. Its totient is φ = 702779904.

The previous prime is 2225504329. The next prime is 2225504381. The reversal of 2225504352 is 2534055222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2548 + ... + 66764.

It is an arithmetic number, because the mean of its divisors is an integer number (85634703).

Almost surely, 22225504352 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 2225504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082849308).

2225504352 is an abundant number, since it is smaller than the sum of its proper divisors (3940194264).

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

2225504352 is a wasteful number, since it uses less digits than its factorization.

2225504352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64268 (or 64241 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2225504352 is about 47175.2514778671. The cubic root of 2225504352 is about 1305.5980195388.

Adding to 2225504352 its reverse (2534055222), we get a palindrome (4759559574).

The spelling of 2225504352 in words is "two billion, two hundred twenty-five million, five hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 722 912 1083 1444 1824 2166 2888 4332 5776 8664 11552 17328 34656 64217 128434 192651 256868 385302 513736 770604 1027472 1220123 1541208 2054944 2440246 3082416 3660369 4880492 6164832 7320738 9760984 14641476 19521968 23182337 29282952 39043936 46364674 58565904 69547011 92729348 117131808 139094022 185458696 278188044 370917392 556376088 741834784 1112752176 2225504352