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2123213440 = 2753317521
BaseRepresentation
bin111111010001101…
…1010101010000000
312110222012102021211
41332203122222000
513322020312230
6550403455504
7103421005435
oct17643325200
95428172254
102123213440
1199a553757
124b3087594
1327ab57b1a
14161dadb8c
15c660042a
hex7e8daa80

2123213440 has 32 divisors (see below), whose sum is σ = 5075808660. Its totient is φ = 849285120.

The previous prime is 2123213437. The next prime is 2123213447. The reversal of 2123213440 is 443123212.

It can be written as a sum of positive squares in 2 ways, for example, as 1914237504 + 208975936 = 43752^2 + 14456^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2123213447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1658121 + ... + 1659400.

Almost surely, 22123213440 is an apocalyptic number.

2123213440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123213440 is an abundant number, since it is smaller than the sum of its proper divisors (2952595220).

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

2123213440 is an equidigital number, since it uses as much as digits as its factorization.

2123213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317540 (or 3317528 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2123213440 is about 46078.3402478865. The cubic root of 2123213440 is about 1285.2804002849.

Adding to 2123213440 its reverse (443123212), we get a palindrome (2566336652).

The spelling of 2123213440 in words is "two billion, one hundred twenty-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3317521 6635042 13270084 16587605 26540168 33175210 53080336 66350420 106160672 132700840 212321344 265401680 424642688 530803360 1061606720 2123213440