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2196996480 = 27335741443
BaseRepresentation
bin1000001011110011…
…1000000110000000
312200010000222121000
42002330320012000
513444412341410
61002001132000
7105305106360
oct20274700600
95603028530
102196996480
11a28168a78
1251392a000
1329021c523
1416bad89a0
15ccd26dc0
hex82f38180

2196996480 has 512 divisors, whose sum is σ = 9130060800. Its totient is φ = 488816640.

The previous prime is 2196996449. The next prime is 2196996481. The reversal of 2196996480 is 846996912.

2196996480 is a `hidden beast` number, since 2 + 19 + 69 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196996481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4959139 + ... + 4959581.

It is an arithmetic number, because the mean of its divisors is an integer number (17832150).

Almost surely, 22196996480 is an apocalyptic number.

2196996480 is a gapful number since it is divisible by the number (20) 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 2196996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565030400).

2196996480 is an abundant number, since it is smaller than the sum of its proper divisors (6933064320).

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

2196996480 is a wasteful number, since it uses less digits than its factorization.

2196996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2196996480 is about 46872.1290320805. The cubic root of 2196996480 is about 1299.9993057196. Note that the first 3 decimals are identical.

The spelling of 2196996480 in words is "two billion, one hundred ninety-six million, nine hundred ninety-six thousand, four hundred eighty".