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2269391040 = 263357157239
BaseRepresentation
bin1000011101000100…
…0010100011000000
312212011021000021000
42013101002203000
514121431003130
61013104532000
7110144335260
oct20721024300
95764230230
102269391040
11a65015094
12534021000
132a2218c47
141775817a0
15d4377260
hex874428c0

2269391040 has 448 divisors, whose sum is σ = 9246412800. Its totient is φ = 513257472.

The previous prime is 2269391011. The next prime is 2269391057. The reversal of 2269391040 is 401939622.

2269391040 is a `hidden beast` number, since 2 + 269 + 391 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2269390986 and 2269391004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9495241 + ... + 9495479.

Almost surely, 22269391040 is an apocalyptic number.

2269391040 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 2269391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623206400).

2269391040 is an abundant number, since it is smaller than the sum of its proper divisors (6977021760).

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

2269391040 is a wasteful number, since it uses less digits than its factorization.

2269391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2269391040 is about 47638.1259077223. The cubic root of 2269391040 is about 1314.1242975764.

The spelling of 2269391040 in words is "two billion, two hundred sixty-nine million, three hundred ninety-one thousand, forty".