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2802220096 = 261325092
BaseRepresentation
bin1010011100000110…
…0111110001000000
321020021212112022111
42213001213301000
521214332020341
61142021145104
7126304322614
oct24701476100
97207775274
102802220096
111208864485
1266255b194
13358726900
141c8241344
15116027681
hexa7067c40

2802220096 has 63 divisors (see below), whose sum is σ = 6033154431. Its totient is φ = 1290791424.

The previous prime is 2802220061. The next prime is 2802220097. The reversal of 2802220096 is 6900222082.

The square root of 2802220096 is 52936.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7617600 + 2794602496 = 2760^2 + 52864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2802220097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5505090 + ... + 5505598.

Almost surely, 22802220096 is an apocalyptic number.

2802220096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2802220096 is the 52936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2802220096

2802220096 is an abundant number, since it is smaller than the sum of its proper divisors (3230934335).

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

2802220096 is an frugal number, since it uses more digits than its factorization.

2802220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 2802220096 is about 1409.8321641853.

The spelling of 2802220096 in words is "two billion, eight hundred two million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 509 676 832 1018 1352 2036 2704 4072 5408 6617 8144 10816 13234 16288 26468 32576 52936 86021 105872 172042 211744 259081 344084 423488 518162 688168 1036324 1376336 2072648 2752672 3368053 4145296 5505344 6736106 8290592 13472212 16581184 26944424 43784689 53888848 87569378 107777696 175138756 215555392 350277512 700555024 1401110048 2802220096