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2266420460 = 22523163167181
BaseRepresentation
bin1000011100010110…
…1101010011101100
312211221200002101112
42013011231103230
514120200423320
61012521131152
7110110153553
oct20705552354
95757602345
102266420460
11a63376267
12533029ab8
132a1718ac5
1417700ad9a
15d3e8bec5
hex8716d4ec

2266420460 has 96 divisors (see below), whose sum is σ = 5054579712. Its totient is φ = 851938560.

The previous prime is 2266420451. The next prime is 2266420469. The reversal of 2266420460 is 640246622.

2266420460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2266420451) and next prime (2266420469).

It is a super-2 number, since 2×22664204602 = 10273323403013223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2266420469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12521570 + ... + 12521750.

It is an arithmetic number, because the mean of its divisors is an integer number (52651872).

Almost surely, 22266420460 is an apocalyptic number.

2266420460 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 2266420460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527289856).

2266420460 is an abundant number, since it is smaller than the sum of its proper divisors (2788159252).

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

2266420460 is a wasteful number, since it uses less digits than its factorization.

2266420460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2266420460 is about 47606.9370995446. The cubic root of 2266420460 is about 1313.5506611814.

The spelling of 2266420460 in words is "two billion, two hundred sixty-six million, four hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 167 181 230 326 334 362 460 652 668 724 815 835 905 1630 1670 1810 3260 3340 3620 3749 3841 4163 7498 7682 8326 14996 15364 16652 18745 19205 20815 27221 29503 30227 37490 38410 41630 54442 59006 60454 74980 76820 83260 108884 118012 120908 136105 147515 151135 272210 295030 302270 544420 590060 604540 626083 678569 695221 1252166 1357138 1390442 2504332 2714276 2780884 3130415 3392845 3476105 4927001 6260830 6785690 6952210 9854002 12521660 13571380 13904420 19708004 24635005 49270010 98540020 113321023 226642046 453284092 566605115 1133210230 2266420460