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226693800 = 233252125941
BaseRepresentation
bin11011000001100…
…01001010101000
3120210120020102200
431200301022220
5431013200200
634254500200
75421602604
oct1540611250
9523506380
10226693800
11106a65453
1263b04660
1337c72458
1422170504
1514d7d800
hexd8312a8

226693800 has 72 divisors (see below), whose sum is σ = 761319390. Its totient is φ = 60451200.

The previous prime is 226693799. The next prime is 226693801. The reversal of 226693800 is 8396622.

It is an interprime number because it is at equal distance from previous prime (226693799) and next prime (226693801).

It can be written as a sum of positive squares in 3 ways, for example, as 216619524 + 10074276 = 14718^2 + 3174^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226693801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61171 + ... + 64770.

Almost surely, 2226693800 is an apocalyptic number.

226693800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226693800 is an abundant number, since it is smaller than the sum of its proper divisors (534625590).

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

226693800 is a wasteful number, since it uses less digits than its factorization.

226693800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125963 (or 125951 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226693800 is about 15056.3541403621. The cubic root of 226693800 is about 609.7426129024.

The spelling of 226693800 in words is "two hundred twenty-six million, six hundred ninety-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 125941 251882 377823 503764 629705 755646 1007528 1133469 1259410 1511292 1889115 2266938 2518820 3022584 3148525 3778230 4533876 5037640 5667345 6297050 7556460 9067752 9445575 11334690 12594100 15112920 18891150 22669380 25188200 28336725 37782300 45338760 56673450 75564600 113346900 226693800