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220376226 = 23725314143
BaseRepresentation
bin11010010001010…
…10110010100010
3120100200021100110
431020222302202
5422404014401
633511232150
75314111200
oct1510526242
9510607313
10220376226
1110343aa14
1261978656
133686ca45
14213a8070
15145319d6
hexd22aca2

220376226 has 48 divisors (see below), whose sum is σ = 522422784. Its totient is φ = 61772256.

The previous prime is 220376209. The next prime is 220376251. The reversal of 220376226 is 622673022.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220376193 and 220376202.

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, 8511 + ... + 22653.

It is an arithmetic number, because the mean of its divisors is an integer number (10883808).

Almost surely, 2220376226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220376226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261211392).

220376226 is an abundant number, since it is smaller than the sum of its proper divisors (302046558).

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

220376226 is a wasteful number, since it uses less digits than its factorization.

220376226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14215 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 220376226 is about 14845.0741325195. The cubic root of 220376226 is about 604.0249996962.

The spelling of 220376226 in words is "two hundred twenty million, three hundred seventy-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 2226 2597 5194 7791 14143 15582 28286 42429 84858 99001 198002 297003 594006 693007 749579 1386014 1499158 2079021 2248737 4158042 4497474 5247053 10494106 15741159 31482318 36729371 73458742 110188113 220376226