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2255679270 = 2325132517681
BaseRepresentation
bin1000011001110010…
…1110111100100110
312211012110101020200
42012130232330212
514104423214040
61011455011330
7106616646255
oct20634567446
95735411220
102255679270
11a582aa249
1252b509b46
1329c427a80
1417581279c
15d3069630
hex8672ef26

2255679270 has 96 divisors (see below), whose sum is σ = 6341890464. Its totient is φ = 552960000.

The previous prime is 2255679233. The next prime is 2255679281. The reversal of 2255679270 is 729765522.

2255679270 is a `hidden beast` number, since 2 + 2 + 556 + 7 + 92 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289830 + ... + 297510.

It is an arithmetic number, because the mean of its divisors is an integer number (66061359).

Almost surely, 22255679270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255679270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170945232).

2255679270 is an abundant number, since it is smaller than the sum of its proper divisors (4086211194).

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

2255679270 is a wasteful number, since it uses less digits than its factorization.

2255679270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2255679270 is about 47493.9919358228. The cubic root of 2255679270 is about 1311.4722817411.

The spelling of 2255679270 in words is "two billion, two hundred fifty-five million, six hundred seventy-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 251 390 502 585 753 1170 1255 1506 2259 2510 3263 3765 4518 6526 7530 7681 9789 11295 15362 16315 19578 22590 23043 29367 32630 38405 46086 48945 58734 69129 76810 97890 99853 115215 138258 146835 199706 230430 293670 299559 345645 499265 599118 691290 898677 998530 1497795 1797354 1927931 2995590 3855862 4493385 5783793 8986770 9639655 11567586 17351379 19279310 25063103 28918965 34702758 50126206 57837930 75189309 86756895 125315515 150378618 173513790 225567927 250631030 375946545 451135854 751893090 1127839635 2255679270