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2266621920 = 25335524681
BaseRepresentation
bin1000011100011001…
…1110011111100000
312211222001022202000
42013012132133200
514120223400140
61012525324000
7110111653113
oct20706363740
95758038660
102266621920
11a634a3662
12533106600
132a1789704
1417706057a
15d3ecba30
hex8719e7e0

2266621920 has 96 divisors (see below), whose sum is σ = 7933191840. Its totient is φ = 604431360.

The previous prime is 2266621919. The next prime is 2266621921. The reversal of 2266621920 is 291266622.

2266621920 is digitally balanced in base 2 and base 4, because in such bases 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 (2266621919) and next prime (2266621921).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266621921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258021 + ... + 266660.

It is an arithmetic number, because the mean of its divisors is an integer number (82637415).

Almost surely, 22266621920 is an apocalyptic number.

2266621920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2266621920 is an abundant number, since it is smaller than the sum of its proper divisors (5666569920).

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

2266621920 is a wasteful number, since it uses less digits than its factorization.

2266621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524705 (or 524691 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2266621920 is about 47609.0529206368. The cubic root of 2266621920 is about 1313.5895801259.

The spelling of 2266621920 in words is "two billion, two hundred sixty-six million, six hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 524681 1049362 1574043 2098724 2623405 3148086 4197448 4722129 5246810 6296172 7870215 8394896 9444258 10493620 12592344 14166387 15740430 16789792 18888516 20987240 23610645 25184688 28332774 31480860 37777032 41974480 47221290 50369376 56665548 62961720 70831935 75554064 83948960 94442580 113331096 125923440 141663870 151108128 188885160 226662192 251846880 283327740 377770320 453324384 566655480 755540640 1133310960 2266621920