Search a number
-
+
1223203200 = 27352472711
BaseRepresentation
bin100100011101000…
…1001100110000000
310011020200011100020
41020322021212000
510001120000300
6321213253440
742212025042
oct11072114600
93136604306
101223203200
1157851473a
122a1794280
1316655989b
14b864da92
15725c08a0
hex48e89980

1223203200 has 192 divisors, whose sum is σ = 4116165120. Its totient is φ = 319129600.

The previous prime is 1223203139. The next prime is 1223203213. The reversal of 1223203200 is 23023221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1223203200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449845 + ... + 452555.

It is an arithmetic number, because the mean of its divisors is an integer number (21438360).

Almost surely, 21223203200 is an apocalyptic number.

1223203200 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 1223203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058082560).

1223203200 is an abundant number, since it is smaller than the sum of its proper divisors (2892961920).

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

1223203200 is a wasteful number, since it uses less digits than its factorization.

1223203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1223203200 is about 34974.3220091541. The cubic root of 1223203200 is about 1069.4640807674.

Adding to 1223203200 its reverse (23023221), we get a palindrome (1246226421).

The spelling of 1223203200 in words is "one billion, two hundred twenty-three million, two hundred three thousand, two hundred".