Search a number
-
+
1223330004 = 2232132613953
BaseRepresentation
bin100100011101010…
…1000100011010100
310011020220121021200
41020322220203110
510001133030004
6321220112500
742213063531
oct11072504324
93136817250
101223330004
115785a0a36
122a1835730
131665a2510
14b8683d88
15725e8239
hex48ea88d4

1223330004 has 36 divisors (see below), whose sum is σ = 3330177396. Its totient is φ = 376409088.

The previous prime is 1223329993. The next prime is 1223330011. The reversal of 1223330004 is 4000333221.

It can be written as a sum of positive squares in 2 ways, for example, as 405941904 + 817388100 = 20148^2 + 28590^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1306509 + ... + 1307444.

Almost surely, 21223330004 is an apocalyptic number.

It is an amenable number.

1223330004 is an abundant number, since it is smaller than the sum of its proper divisors (2106847392).

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

1223330004 is a wasteful number, since it uses less digits than its factorization.

1223330004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613976 (or 2613971 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1223330004 is about 34976.1347778739. The cubic root of 1223330004 is about 1069.5010350083.

Adding to 1223330004 its reverse (4000333221), we get a palindrome (5223663225).

The spelling of 1223330004 in words is "one billion, two hundred twenty-three million, three hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2613953 5227906 7841859 10455812 15683718 23525577 31367436 33981389 47051154 67962778 94102308 101944167 135925556 203888334 305832501 407776668 611665002 1223330004