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2222531272 = 2313137389401
BaseRepresentation
bin1000010001111001…
…0010001011001000
312201220002021202001
42010132102023020
514022432000042
61004312320344
7106035130003
oct20436221310
95656067661
102222531272
11a40619705
125203a30b4
132955bcc80
1417126453a
15d01bcbb7
hex847922c8

2222531272 has 64 divisors (see below), whose sum is σ = 4543484400. Its totient is φ = 1013145600.

The previous prime is 2222531263. The next prime is 2222531273. The reversal of 2222531272 is 2721352222.

It can be written as a sum of positive squares in 8 ways, for example, as 1227381156 + 995150116 = 35034^2 + 31546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2222531272.

It is not an unprimeable number, because it can be changed into a prime (2222531273) 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, 5542272 + ... + 5542672.

Almost surely, 22222531272 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 2222531272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271742200).

2222531272 is an abundant number, since it is smaller than the sum of its proper divisors (2320953128).

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

2222531272 is a wasteful number, since it uses less digits than its factorization.

2222531272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 2222531272 is about 47143.7299330462. The cubic root of 2222531272 is about 1305.0163720342.

Adding to 2222531272 its reverse (2721352222), we get a palindrome (4943883494).

The spelling of 2222531272 in words is "two billion, two hundred twenty-two million, five hundred thirty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 137 274 389 401 548 778 802 1096 1556 1604 1781 3112 3208 3562 5057 5213 7124 10114 10426 14248 20228 20852 40456 41704 53293 54937 106586 109874 155989 213172 219748 311978 426344 439496 623956 692809 714181 1247912 1385618 1428362 2027857 2771236 2856724 4055714 5542472 5713448 8111428 16222856 21370493 42740986 85481972 170963944 277816409 555632818 1111265636 2222531272