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2270112240 = 243511859891
BaseRepresentation
bin1000011101001111…
…0010100111110000
312212012121122120010
42013103302213300
514122122042430
61013132214520
7110153431014
oct20723624760
95765548503
102270112240
11a65467a20
1253430a440
132a240c2a6
141776cc544
15d446acb0
hex874f29f0

2270112240 has 80 divisors (see below), whose sum is σ = 7677115776. Its totient is φ = 550329600.

The previous prime is 2270112239. The next prime is 2270112241. The reversal of 2270112240 is 422110722.

2270112240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2270112239) and next prime (2270112241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270112241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427306 + ... + 432585.

Almost surely, 22270112240 is an apocalyptic number.

2270112240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270112240 is an abundant number, since it is smaller than the sum of its proper divisors (5407003536).

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

2270112240 is a wasteful number, since it uses less digits than its factorization.

2270112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859918 (or 859912 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2270112240 is about 47645.6948737239. The cubic root of 2270112240 is about 1314.2634899924.

Adding to 2270112240 its reverse (422110722), we get a palindrome (2692222962).

The spelling of 2270112240 in words is "two billion, two hundred seventy million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 859891 1719782 2579673 3439564 4299455 5159346 6879128 8598910 9458801 10318692 12898365 13758256 17197820 18917602 20637384 25796730 28376403 34395640 37835204 41274768 47294005 51593460 56752806 68791280 75670408 94588010 103186920 113505612 141882015 151340816 189176020 206373840 227011224 283764030 378352040 454022448 567528060 756704080 1135056120 2270112240