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225223149150 = 2325233711631277
BaseRepresentation
bin1101000111000001011…
…0001000011001011110
3210112100012002102101200
43101300112020121132
512142224111233100
6251244401420330
722162145115666
oct3216026103136
9715305072350
10225223149150
118757566150a
123779693a6a6
1318313b565bc
14ac87d551a6
155cd2a24e00
hex347058865e

225223149150 has 144 divisors (see below), whose sum is σ = 607892570064. Its totient is φ = 59782947840.

The previous prime is 225223149119. The next prime is 225223149169. The reversal of 225223149150 is 51941322522.

225223149150 is a `hidden beast` number, since 2 + 252 + 2 + 314 + 91 + 5 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 176368312 + ... + 176369588.

It is an arithmetic number, because the mean of its divisors is an integer number (4221476181).

Almost surely, 2225223149150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225223149150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303946285032).

225223149150 is an abundant number, since it is smaller than the sum of its proper divisors (382669420914).

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

225223149150 is a wasteful number, since it uses less digits than its factorization.

225223149150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 225223149150 in words is "two hundred twenty-five billion, two hundred twenty-three million, one hundred forty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 337 450 674 1011 1163 1277 1685 2022 2326 2554 3033 3370 3489 3831 5055 5815 6066 6385 6978 7662 8425 10110 10467 11493 11630 12770 15165 16850 17445 19155 20934 22986 25275 29075 30330 31925 34890 38310 50550 52335 57465 58150 63850 75825 87225 95775 104670 114930 151650 174450 191550 261675 287325 391931 430349 523350 574650 783862 860698 1175793 1291047 1485151 1959655 2151745 2351586 2582094 2970302 3527379 3873141 3919310 4303490 4455453 5878965 6455235 7054758 7425755 7746282 8910906 9798275 10758725 11757930 12910470 13366359 14851510 17636895 19365705 19596550 21517450 22277265 26732718 29394825 32276175 35273790 37128775 38731410 44554530 58789650 64552350 66831795 74257550 88184475 96828525 111386325 133663590 176368950 193657050 222772650 334158975 500495887 668317950 1000991774 1501487661 2502479435 3002975322 4504462983 5004958870 7507438305 9008925966 12512397175 15014876610 22522314915 25024794350 37537191525 45044629830 75074383050 112611574575 225223149150