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2270020284 = 2232728132057
BaseRepresentation
bin1000011101001101…
…1100001010111100
312212012102222102100
42013103130022330
514122111122114
61013130225100
7110152565640
oct20723341274
95765388370
102270020284
11a65404924
12534285190
132a23a948c
141776a6c20
15d444d909
hex874dc2bc

2270020284 has 72 divisors (see below), whose sum is σ = 6581379168. Its totient is φ = 646248960.

The previous prime is 2270020279. The next prime is 2270020343. The reversal of 2270020284 is 4820200722.

2270020284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54784 + ... + 86840.

It is an arithmetic number, because the mean of its divisors is an integer number (91408044).

Almost surely, 22270020284 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 2270020284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290689584).

2270020284 is an abundant number, since it is smaller than the sum of its proper divisors (4311358884).

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

2270020284 is a wasteful number, since it uses less digits than its factorization.

2270020284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32355 (or 32350 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2270020284 is about 47644.7298659568. The cubic root of 2270020284 is about 1314.2457440203.

The spelling of 2270020284 in words is "two billion, two hundred seventy million, twenty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 281 562 843 1124 1686 1967 2529 3372 3934 5058 5901 7868 10116 11802 17703 23604 32057 35406 64114 70812 96171 128228 192342 224399 288513 384684 448798 577026 673197 897596 1154052 1346394 2019591 2692788 4039182 8078364 9008017 18016034 27024051 36032068 54048102 63056119 81072153 108096204 126112238 162144306 189168357 252224476 324288612 378336714 567505071 756673428 1135010142 2270020284