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2254230810 = 23551371359
BaseRepresentation
bin1000011001011100…
…1101010100011010
312211002201210100000
42012113031110122
514104040341220
61011403553430
7106601434326
oct20627152432
95732653300
102254230810
11a574aaa77
1252ab2b876
1329c03b6b0
14175556986
15d2d80390
hex865cd51a

2254230810 has 96 divisors (see below), whose sum is σ = 6545710080. Its totient is φ = 554879808.

The previous prime is 2254230791. The next prime is 2254230827. The reversal of 2254230810 is 180324522.

2254230810 is a `hidden beast` number, since 225 + 423 + 0 + 8 + 10 = 666.

It is a super-2 number, since 2×22542308102 = 10163113089506512200, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4090 + ... + 67269.

It is an arithmetic number, because the mean of its divisors is an integer number (68184480).

Almost surely, 22254230810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254230810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272855040).

2254230810 is an abundant number, since it is smaller than the sum of its proper divisors (4291479270).

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

2254230810 is a wasteful number, since it uses less digits than its factorization.

2254230810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71394 (or 71382 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2254230810 is about 47478.7406109303. The cubic root of 2254230810 is about 1311.1915057287.

The spelling of 2254230810 in words is "two billion, two hundred fifty-four million, two hundred thirty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1755 2106 2430 3159 3510 5265 6318 10530 15795 31590 71359 142718 214077 356795 428154 642231 713590 927667 1070385 1284462 1855334 1926693 2140770 2783001 3211155 3853386 4638335 5566002 5780079 6422310 8349003 9276670 9633465 11560158 13915005 16698006 17340237 19266930 25047009 27830010 28900395 34680474 41745015 50094018 57800790 75141027 83490030 86701185 125235045 150282054 173402370 225423081 250470090 375705135 450846162 751410270 1127115405 2254230810