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2197151040 = 263573153199
BaseRepresentation
bin1000001011110101…
…1101110101000000
312200010022211121110
42002331131311000
513444432313130
61002004323320
7105306322110
oct20275356500
95603284543
102197151040
11a28264107
125139a3540
13290274996
1416bb39040
15ccd57ab0
hex82f5dd40

2197151040 has 448 divisors, whose sum is σ = 8427110400. Its totient is φ = 474439680.

The previous prime is 2197150999. The next prime is 2197151053. The reversal of 2197151040 is 401517912.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2197150989 and 2197151007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11040861 + ... + 11041059.

Almost surely, 22197151040 is an apocalyptic number.

2197151040 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 2197151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213555200).

2197151040 is an abundant number, since it is smaller than the sum of its proper divisors (6229959360).

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

2197151040 is a wasteful number, since it uses less digits than its factorization.

2197151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 2197151040 is about 46873.7777440650. Note that the first 4 decimals coincide. The cubic root of 2197151040 is about 1300.0297902444.

Adding to 2197151040 its reverse (401517912), we get a palindrome (2598668952).

The spelling of 2197151040 in words is "two billion, one hundred ninety-seven million, one hundred fifty-one thousand, forty".