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2196927040 = 265711163547
BaseRepresentation
bin1000001011110010…
…0111001001000000
312200002220110100011
42002330213021000
513444403131130
61001555434304
7105304400050
oct20274471100
95602813304
102196927040
11a28120890
125138b5994
132901c6a39
1416babb560
15ccd1152a
hex82f27240

2196927040 has 224 divisors, whose sum is σ = 6574316544. Its totient is φ = 679311360.

The previous prime is 2196927023. The next prime is 2196927049. The reversal of 2196927040 is 407296912.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2196926984 and 2196927002.

It is not an unprimeable number, because it can be changed into a prime (2196927049) 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, 4016047 + ... + 4016593.

Almost surely, 22196927040 is an apocalyptic number.

2196927040 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 2196927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287158272).

2196927040 is an abundant number, since it is smaller than the sum of its proper divisors (4377389504).

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

2196927040 is a wasteful number, since it uses less digits than its factorization.

2196927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 2196927040 is about 46871.3882875257. The cubic root of 2196927040 is about 1299.9856093082.

The spelling of 2196927040 in words is "two billion, one hundred ninety-six million, nine hundred twenty-seven thousand, forty".