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2270009280 = 2635721141107
BaseRepresentation
bin1000011101001101…
…1001011111000000
312212012102102022210
42013103121133000
514122110244110
61013130102120
7110152521600
oct20723313700
95765372283
102270009280
11a653a7630
1253427a940
132a23a4476
141776a2c00
15d444a520
hex874d97c0

2270009280 has 672 divisors, whose sum is σ = 9456797952. Its totient is φ = 455884800.

The previous prime is 2270009279. The next prime is 2270009281. The reversal of 2270009280 is 829000722.

It is an interprime number because it is at equal distance from previous prime (2270009279) and next prime (2270009281).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×22700092802 = 10305884262572236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270009281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21214987 + ... + 21215093.

It is an arithmetic number, because the mean of its divisors is an integer number (14072616).

Almost surely, 22270009280 is an apocalyptic number.

2270009280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728398976).

2270009280 is an abundant number, since it is smaller than the sum of its proper divisors (7186788672).

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

2270009280 is a wasteful number, since it uses less digits than its factorization.

2270009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2270009280 is about 47644.6143860982. The cubic root of 2270009280 is about 1314.2436204000.

The spelling of 2270009280 in words is "two billion, two hundred seventy million, nine thousand, two hundred eighty".