Search a number
-
+
1222033332 = 2231323421809
BaseRepresentation
bin100100011010110…
…1011111110110100
310011011110201120210
41020311223332310
510000320031312
6321132225420
742166053252
oct11065537664
93134421523
101222033332
11577895803
122a130b270
1316623a260
14b84275d2
157243de3c
hex48d6bfb4

1222033332 has 96 divisors (see below), whose sum is σ = 3215842560. Its totient is φ = 358364160.

The previous prime is 1222033289. The next prime is 1222033333. The reversal of 1222033332 is 2333302221.

It is a junction number, because it is equal to n+sod(n) for n = 1222033299 and 1222033308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222033333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1510144 + ... + 1510952.

It is an arithmetic number, because the mean of its divisors is an integer number (33498360).

Almost surely, 21222033332 is an apocalyptic number.

1222033332 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 1222033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607921280).

1222033332 is an abundant number, since it is smaller than the sum of its proper divisors (1993809228).

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

1222033332 is a wasteful number, since it uses less digits than its factorization.

1222033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 1222033332 is about 34957.5933382148. The cubic root of 1222033332 is about 1069.1230278998.

Adding to 1222033332 its reverse (2333302221), we get a palindrome (3555335553).

The spelling of 1222033332 in words is "one billion, two hundred twenty-two million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 421 598 809 842 897 1196 1263 1618 1684 1794 2427 2526 3236 3588 4854 5052 5473 9683 9708 10517 10946 16419 18607 19366 21034 21892 29049 31551 32838 37214 38732 42068 55821 58098 63102 65676 74428 111642 116196 125879 126204 223284 241891 251758 340589 377637 483782 503516 681178 725673 755274 967564 1021767 1362356 1451346 1510548 2043534 2902692 4087068 4427657 7833547 8855314 13282971 15667094 17710628 23500641 26565942 31334188 47001282 53131884 94002564 101836111 203672222 305508333 407344444 611016666 1222033332