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2263461030 = 233511717159
BaseRepresentation
bin1000011011101001…
…1010110010100110
312211202002201211000
42012322122302212
514113421223110
61012333454130
7110043046515
oct20672326246
95752081730
102263461030
11a61734856
12532041346
132a0c20a6c
1417687a67c
15d3aa51c0
hex86e9aca6

2263461030 has 64 divisors (see below), whose sum is σ = 6041894400. Its totient is φ = 602989920.

The previous prime is 2263461029. The next prime is 2263461061. The reversal of 2263461030 is 301643622.

2263461030 is a `hidden beast` number, since 22 + 634 + 6 + 1 + 0 + 3 + 0 = 666.

2263461030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2263460985 and 2263461003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312591 + ... + 319749.

It is an arithmetic number, because the mean of its divisors is an integer number (94404600).

Almost surely, 22263461030 is an apocalyptic number.

2263461030 is an abundant number, since it is smaller than the sum of its proper divisors (3778433370).

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

2263461030 is a wasteful number, since it uses less digits than its factorization.

2263461030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8346 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2263461030 is about 47575.8450266519. The cubic root of 2263461030 is about 1312.9786792782.

The spelling of 2263461030 in words is "two billion, two hundred sixty-three million, four hundred sixty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1171 2342 3513 5855 7026 7159 10539 11710 14318 17565 21078 21477 31617 35130 35795 42954 52695 63234 64431 71590 105390 107385 128862 158085 193293 214770 316170 322155 386586 644310 966465 1932930 8383189 16766378 25149567 41915945 50299134 75448701 83831890 125747835 150897402 226346103 251495670 377243505 452692206 754487010 1131730515 2263461030