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2196071520 = 253541151739
BaseRepresentation
bin1000001011100101…
…0110010001100000
312200001021222210020
42002321112101200
513444143242040
61001525233440
7105264204606
oct20271262140
95601258706
102196071520
11a27697045
12513562880
1328cc87506
1416b937876
15ccbe2cd0
hex82e56460

2196071520 has 192 divisors, whose sum is σ = 7142929920. Its totient is φ = 566784000.

The previous prime is 2196071497. The next prime is 2196071567. The reversal of 2196071520 is 251706912.

It is a super-2 number, since 2×21960715202 = 9645460241910220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2971311 + ... + 2972049.

It is an arithmetic number, because the mean of its divisors is an integer number (37202760).

Almost surely, 22196071520 is an apocalyptic number.

2196071520 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 2196071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571464960).

2196071520 is an abundant number, since it is smaller than the sum of its proper divisors (4946858400).

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

2196071520 is a wasteful number, since it uses less digits than its factorization.

2196071520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 2196071520 is about 46862.2611490312. The cubic root of 2196071520 is about 1299.8168420461.

The spelling of 2196071520 in words is "two billion, one hundred ninety-six million, seventy-one thousand, five hundred twenty".