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226532100 = 22352755107
BaseRepresentation
bin11011000000010…
…01101100000100
3120210021000121210
431200021230010
5430443011400
634251211420
75420330304
oct1540115404
9523230553
10226532100
11106964a13
1263a46b70
1337c16982
142212b604
1514d4a950
hexd809b04

226532100 has 36 divisors (see below), whose sum is σ = 655433744. Its totient is φ = 60408480.

The previous prime is 226532081. The next prime is 226532171. The reversal of 226532100 is 1235622.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377254 + ... + 377853.

Almost surely, 2226532100 is an apocalyptic number.

226532100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226532100 is an abundant number, since it is smaller than the sum of its proper divisors (428901644).

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

226532100 is a wasteful number, since it uses less digits than its factorization.

226532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755124 (or 755117 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 226532100 is about 15050.9833565784. The cubic root of 226532100 is about 609.5976025663.

Adding to 226532100 its reverse (1235622), we get a palindrome (227767722).

It can be divided in two parts, 22653 and 2100, that added together give a triangular number (24753 = T222).

The spelling of 226532100 in words is "two hundred twenty-six million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 755107 1510214 2265321 3020428 3775535 4530642 7551070 9061284 11326605 15102140 18877675 22653210 37755350 45306420 56633025 75510700 113266050 226532100