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226950 = 23521789
BaseRepresentation
bin110111011010000110
3102112022120
4313122012
524230300
64510410
71633443
oct673206
9375276
10226950
11145569
12ab406
137c3b9
145c9ca
15473a0
hex37686

226950 has 48 divisors (see below), whose sum is σ = 602640. Its totient is φ = 56320.

The previous prime is 226943. The next prime is 226991. The reversal of 226950 is 59622.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 226950.

It is a congruent number.

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, 2506 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2226950 is an apocalyptic number.

226950 is the 255-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301320).

226950 is an abundant number, since it is smaller than the sum of its proper divisors (375690).

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

226950 is a wasteful number, since it uses less digits than its factorization.

226950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 226950 is about 476.3926951581. The cubic root of 226950 is about 60.9972228423.

It can be divided in two parts, 226 and 950, that added together give a triangular number (1176 = T48).

The spelling of 226950 in words is "two hundred twenty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 89 102 150 170 178 255 267 425 445 510 534 850 890 1275 1335 1513 2225 2550 2670 3026 4450 4539 6675 7565 9078 13350 15130 22695 37825 45390 75650 113475 226950