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11220332352 = 2631953131443
BaseRepresentation
bin10100111001100100…
…01010111101000000
31001221222000221101220
422130302022331000
5140434401113402
65053214355040
7545023152135
oct123462127500
931858027356
1011220332352
114838648849
1222117bba80
13109a780418
1478626658c
1545a0b2dbc
hex29cc8af40

11220332352 has 224 divisors, whose sum is σ = 32154693120. Its totient is φ = 3442083840.

The previous prime is 11220332339. The next prime is 11220332353. The reversal of 11220332352 is 25323302211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220332353) 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, 25327843 + ... + 25328285.

Almost surely, 211220332352 is an apocalyptic number.

11220332352 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 11220332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077346560).

11220332352 is an abundant number, since it is smaller than the sum of its proper divisors (20934360768).

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

11220332352 is a wasteful number, since it uses less digits than its factorization.

11220332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 11220332352 its reverse (25323302211), we get a palindrome (36543634563).

The spelling of 11220332352 in words is "eleven billion, two hundred twenty million, three hundred thirty-two thousand, three hundred fifty-two".