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2240696896 = 26612972
BaseRepresentation
bin1000010110001110…
…0101001001000000
312210011021012021221
42011203211021000
514042104300041
61010201524424
7106345416004
oct20543451100
95704235257
102240696896
11a4a8a6819
125264a3714
132992b0469
14173832704
15d1aaa2d1
hex858e5240

2240696896 has 63 divisors (see below), whose sum is σ = 4567552587. Its totient is φ = 1090621440.

The previous prime is 2240696893. The next prime is 2240696897. The reversal of 2240696896 is 6986960422.

The square root of 2240696896 is 47336.

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 831745600 + 1408951296 = 28840^2 + 37536^2 .

It is not an unprimeable number, because it can be changed into a prime (2240696893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23099920 + ... + 23100016.

Almost surely, 22240696896 is an apocalyptic number.

2240696896 is the 47336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240696896

2240696896 is an abundant number, since it is smaller than the sum of its proper divisors (2326855691).

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

2240696896 is an frugal number, since it uses more digits than its factorization.

2240696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The cubic root of 2240696896 is about 1308.5622000673.

The spelling of 2240696896 in words is "two billion, two hundred forty million, six hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 97 122 194 244 388 488 776 976 1552 1952 3104 3721 3904 5917 6208 7442 9409 11834 14884 18818 23668 29768 37636 47336 59536 75272 94672 119072 150544 189344 238144 301088 360937 378688 573949 602176 721874 1147898 1443748 2295796 2887496 4591592 5774992 9183184 11549984 18366368 23099968 35010889 36732736 70021778 140043556 280087112 560174224 1120348448 2240696896