Search a number
-
+
1222052520 = 233513260259
BaseRepresentation
bin100100011010111…
…0000101010101000
310011011111200220110
41020311300222220
510000321140040
6321132454320
742166163223
oct11065605250
93134450813
101222052520
115778a9167
122a131a3a0
13166245c00
14b84305ba
1572444980
hex48d70aa8

1222052520 has 96 divisors (see below), whose sum is σ = 3969928800. Its totient is φ = 300807936.

The previous prime is 1222052509. The next prime is 1222052521. The reversal of 1222052520 is 252502221.

It is not an unprimeable number, because it can be changed into a prime (1222052521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9850 + ... + 50409.

It is an arithmetic number, because the mean of its divisors is an integer number (41353425).

Almost surely, 21222052520 is an apocalyptic number.

1222052520 is a gapful number since it is divisible by the number (10) 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 1222052520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984964400).

1222052520 is an abundant number, since it is smaller than the sum of its proper divisors (2747876280).

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

1222052520 is a wasteful number, since it uses less digits than its factorization.

1222052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60299 (or 60282 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1222052520 is about 34957.8677839482. The cubic root of 1222052520 is about 1069.1286235533.

Adding to 1222052520 its reverse (252502221), we get a palindrome (1474554741).

The spelling of 1222052520 in words is "one billion, two hundred twenty-two million, fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 5070 6760 10140 20280 60259 120518 180777 241036 301295 361554 482072 602590 723108 783367 903885 1205180 1446216 1566734 1807770 2350101 2410360 3133468 3615540 3916835 4700202 6266936 7231080 7833670 9400404 10183771 11750505 15667340 18800808 20367542 23501010 30551313 31334680 40735084 47002020 50918855 61102626 81470168 94004040 101837710 122205252 152756565 203675420 244410504 305513130 407350840 611026260 1222052520