Search a number
-
+
1220535450 = 232522939257
BaseRepresentation
bin100100010111111…
…1110010010011010
310011001122121212200
41020233332102122
54444424113300
6321040151030
742150244251
oct11057762232
93131577780
101220535450
11576a62392
122a0908476
13165b34534
14b8157798
1572245200
hex48bfe49a

1220535450 has 72 divisors (see below), whose sum is σ = 3290719068. Its totient is φ = 324330240.

The previous prime is 1220535443. The next prime is 1220535461. The reversal of 1220535450 is 545350221.

It is a happy number.

1220535450 is a `hidden beast` number, since 1 + 2 + 205 + 3 + 5 + 450 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 448973721 + 771561729 = 21189^2 + 27777^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127222 + ... + 136478.

Almost surely, 21220535450 is an apocalyptic number.

1220535450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220535450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645359534).

1220535450 is an abundant number, since it is smaller than the sum of its proper divisors (2070183618).

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

1220535450 is a wasteful number, since it uses less digits than its factorization.

1220535450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1220535450 is about 34936.1624967597. The cubic root of 1220535450 is about 1068.6860308486.

Adding to 1220535450 its reverse (545350221), we get a palindrome (1765885671).

The spelling of 1220535450 in words is "one billion, two hundred twenty million, five hundred thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 293 450 586 879 1465 1758 2637 2930 4395 5274 7325 8790 9257 13185 14650 18514 21975 26370 27771 43950 46285 55542 65925 83313 92570 131850 138855 166626 231425 277710 416565 462850 694275 833130 1388550 2082825 2712301 4165650 5424602 8136903 13561505 16273806 24410709 27123010 40684515 48821418 67807525 81369030 122053545 135615050 203422575 244107090 406845150 610267725 1220535450