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2270212880 = 245132182897
BaseRepresentation
bin1000011101010000…
…1011001100010000
312212012210202121112
42013110023030100
514122133303010
61013134312452
7110154330305
oct20724131420
95765722545
102270212880
11a655265a1
12534358728
132a2446040
141777170ac
15d448aa05
hex8750b310

2270212880 has 40 divisors (see below), whose sum is σ = 5684266392. Its totient is φ = 838232064.

The previous prime is 2270212877. The next prime is 2270212897. The reversal of 2270212880 is 882120722.

It can be written as a sum of positive squares in 4 ways, for example, as 318693904 + 1951518976 = 17852^2 + 44176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090409 + ... + 1092488.

Almost surely, 22270212880 is an apocalyptic number.

2270212880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270212880 is an abundant number, since it is smaller than the sum of its proper divisors (3414053512).

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

2270212880 is a wasteful number, since it uses less digits than its factorization.

2270212880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182923 (or 2182917 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 2270212880 is about 47646.7509910172. The cubic root of 2270212880 is about 1314.2829112822.

The spelling of 2270212880 in words is "two billion, two hundred seventy million, two hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2182897 4365794 8731588 10914485 17463176 21828970 28377661 34926352 43657940 56755322 87315880 113510644 141888305 174631760 227021288 283776610 454042576 567553220 1135106440 2270212880