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2016997921 = 9724632
BaseRepresentation
bin111100000111000…
…1111001000100001
312012120100002222201
41320032033020201
513112322413141
6532051133201
7100661125261
oct17016171041
95176302881
102016997921
119455a7434
124835a4201
13261b491c3
14151c417a1
15bc11e031
hex7838f221

2016997921 has 9 divisors (see below), whose sum is σ = 2042417331. Its totient is φ = 1991892672.

The previous prime is 2016997867. The next prime is 2016997999. The reversal of 2016997921 is 1297996102.

It is a happy number.

The square root of 2016997921 is 44911.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 905709025 + 1111288896 = 30095^2 + 33336^2 .

It is not a de Polignac number, because 2016997921 - 219 = 2016473633 is a prime.

It is a super-2 number, since 2×20169979212 = 8136561226636644482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2016997721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4356136 + ... + 4356598.

It is an arithmetic number, because the mean of its divisors is an integer number (226935259).

Almost surely, 22016997921 is an apocalyptic number.

2016997921 is the 44911-st square number.

2016997921 is the 22456-th centered octagonal number.

It is an amenable number.

2016997921 is a deficient number, since it is larger than the sum of its proper divisors (25419410).

2016997921 is an frugal number, since it uses more digits than its factorization.

2016997921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The cubic root of 2016997921 is about 1263.4803252237.

The spelling of 2016997921 in words is "two billion, sixteen million, nine hundred ninety-seven thousand, nine hundred twenty-one".

Divisors: 1 97 463 9409 44911 214369 4356367 20793793 2016997921