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2273899008 = 2938871669
BaseRepresentation
bin1000011110001000…
…1111001000000000
312212110202001000210
42013202033020000
514124104232013
61013345314120
7110230552113
oct20742171000
95773661023
102273899008
11a67613a87
12535635940
132a3136a94
14177dd657a
15d4967cc3
hex8788f200

2273899008 has 80 divisors (see below), whose sum is σ = 6068272320. Its totient is φ = 756658176.

The previous prime is 2273899007. The next prime is 2273899049. The reversal of 2273899008 is 8009983722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2273899007) 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 7 ways as a sum of consecutive naturals, for example, 1361598 + ... + 1363266.

It is an arithmetic number, because the mean of its divisors is an integer number (75853404).

Almost surely, 22273899008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273899008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034136160).

2273899008 is an abundant number, since it is smaller than the sum of its proper divisors (3794373312).

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

2273899008 is an equidigital number, since it uses as much as digits as its factorization.

2273899008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 2273899008 is about 47685.4171419313. The cubic root of 2273899008 is about 1314.9938571424.

The spelling of 2273899008 in words is "two billion, two hundred seventy-three million, eight hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 887 1536 1669 1774 2661 3338 3548 5007 5322 6676 7096 10014 10644 13352 14192 20028 21288 26704 28384 40056 42576 53408 56768 80112 85152 106816 113536 160224 170304 213632 227072 320448 340608 427264 454144 640896 681216 854528 1281792 1362432 1480403 2563584 2960806 4441209 5921612 8882418 11843224 17764836 23686448 35529672 47372896 71059344 94745792 142118688 189491584 284237376 378983168 568474752 757966336 1136949504 2273899008