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2270073312 = 253213606323
BaseRepresentation
bin1000011101001110…
…1001000111100000
312212012112200011100
42013103221013200
514122114321222
61013131314400
7110153206353
oct20723510740
95765480140
102270073312
11a65440751
125342aba00
132a23c7660
141776bc29a
15d445e4ac
hex874e91e0

2270073312 has 72 divisors (see below), whose sum is σ = 6952110984. Its totient is φ = 698482944.

The previous prime is 2270073283. The next prime is 2270073313. The reversal of 2270073312 is 2133700722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270073313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299418 + ... + 306905.

It is an arithmetic number, because the mean of its divisors is an integer number (96557097).

Almost surely, 22270073312 is an apocalyptic number.

It is an amenable number.

2270073312 is an abundant number, since it is smaller than the sum of its proper divisors (4682037672).

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

2270073312 is a wasteful number, since it uses less digits than its factorization.

2270073312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606352 (or 606341 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2270073312 is about 47645.2863565747. The cubic root of 2270073312 is about 1314.2559775971.

The spelling of 2270073312 in words is "two billion, two hundred seventy million, seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 606323 1212646 1818969 2425292 3637938 4850584 5456907 7275876 7882199 9701168 10913814 14551752 15764398 19402336 21827628 23646597 29103504 31528796 43655256 47293194 58207008 63057592 70939791 87310512 94586388 126115184 141879582 174621024 189172776 252230368 283759164 378345552 567518328 756691104 1135036656 2270073312