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226260200 = 235223101487
BaseRepresentation
bin11010111110001…
…11010011101000
3120202202012122102
431133013103220
5430410311300
634241312532
75415115505
oct1537072350
9522665572
10226260200
11106799701
1263935748
1337b4cc9a
142209a4ac
1514ce50d5
hexd7c74e8

226260200 has 96 divisors (see below), whose sum is σ = 555500160. Its totient is φ = 85536000.

The previous prime is 226260193. The next prime is 226260247. The reversal of 226260200 is 2062622.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464357 + ... + 464843.

It is an arithmetic number, because the mean of its divisors is an integer number (5786460).

Almost surely, 2226260200 is an apocalyptic number.

226260200 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 226260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277750080).

226260200 is an abundant number, since it is smaller than the sum of its proper divisors (329239960).

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

226260200 is a wasteful number, since it uses less digits than its factorization.

226260200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 226260200 is about 15041.9480121426. The cubic root of 226260200 is about 609.3536107329.

The spelling of 226260200 in words is "two hundred twenty-six million, two hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 101 115 184 200 202 230 404 460 487 505 575 808 920 974 1010 1150 1948 2020 2300 2323 2435 2525 3896 4040 4600 4646 4870 5050 9292 9740 10100 11201 11615 12175 18584 19480 20200 22402 23230 24350 44804 46460 48700 49187 56005 58075 89608 92920 97400 98374 112010 116150 196748 224020 232300 245935 280025 393496 448040 464600 491870 560050 983740 1120100 1131301 1229675 1967480 2240200 2262602 2459350 4525204 4918700 5656505 9050408 9837400 11313010 22626020 28282525 45252040 56565050 113130100 226260200