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225441340000 = 255422949223
BaseRepresentation
bin1101000111110101011…
…0011101101001100000
3210112220101122122222021
43101331112131221200
512143200440340000
6251322154151224
722200434525632
oct3217526355140
9715811578867
10225441340000
1187677839528
1237837a22514
131834a10c706
14aca8d10a52
155ce6c7411a
hex347d59da60

225441340000 has 120 divisors (see below), whose sum is σ = 557052748560. Its totient is φ = 89780928000.

The previous prime is 225441339989. The next prime is 225441340001. The reversal of 225441340000 is 43144522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225441340001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4555389 + ... + 4604611.

It is an arithmetic number, because the mean of its divisors is an integer number (4642106238).

Almost surely, 2225441340000 is an apocalyptic number.

225441340000 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 225441340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278526374280).

225441340000 is an abundant number, since it is smaller than the sum of its proper divisors (331611408560).

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

225441340000 is an equidigital number, since it uses as much as digits as its factorization.

225441340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49482 (or 49459 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 225441340000 its reverse (43144522), we get a palindrome (225484484522).

The spelling of 225441340000 in words is "two hundred twenty-five billion, four hundred forty-one million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 400 458 500 625 800 916 1000 1145 1250 1832 2000 2290 2500 3664 4000 4580 5000 5725 7328 9160 10000 11450 18320 20000 22900 28625 36640 45800 49223 57250 91600 98446 114500 143125 183200 196892 229000 246115 286250 393784 458000 492230 572500 787568 916000 984460 1145000 1230575 1575136 1968920 2290000 2461150 3937840 4580000 4922300 6152875 7875680 9844600 11272067 12305750 19689200 22544134 24611500 30764375 39378400 45088268 49223000 56360335 61528750 90176536 98446000 112720670 123057500 180353072 196892000 225441340 246115000 281801675 360706144 450882680 492230000 563603350 901765360 984460000 1127206700 1409008375 1803530720 2254413400 2818016750 4508826800 5636033500 7045041875 9017653600 11272067000 14090083750 22544134000 28180167500 45088268000 56360335000 112720670000 225441340000