Search a number
-
+
1332213200 = 245217411913
BaseRepresentation
bin100111101100111…
…1111010111010000
310102211210102221122
41033121333113100
510212021310300
6340105541412
745004424333
oct11731772720
93384712848
101332213200
11623aaa54a
123121a4868
13183006446
14c8d0861a
157be54c85
hex4f67f5d0

1332213200 has 60 divisors (see below), whose sum is σ = 3204154668. Its totient is φ = 532300800.

The previous prime is 1332213191. The next prime is 1332213217. The reversal of 1332213200 is 23122331.

It can be written as a sum of positive squares in 6 ways, for example, as 123121216 + 1209091984 = 11096^2 + 34772^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695444 + ... + 697356.

Almost surely, 21332213200 is an apocalyptic number.

1332213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332213200 is an abundant number, since it is smaller than the sum of its proper divisors (1871941468).

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

1332213200 is a wasteful number, since it uses less digits than its factorization.

1332213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1332213200 is about 36499.4958869297. The cubic root of 1332213200 is about 1100.3341133823.

Adding to 1332213200 its reverse (23122331), we get a palindrome (1355335531).

The spelling of 1332213200 in words is "one billion, three hundred thirty-two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1741 1913 3482 3826 6964 7652 8705 9565 13928 15304 17410 19130 27856 30608 34820 38260 43525 47825 69640 76520 87050 95650 139280 153040 174100 191300 348200 382600 696400 765200 3330533 6661066 13322132 16652665 26644264 33305330 53288528 66610660 83263325 133221320 166526650 266442640 333053300 666106600 1332213200