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220231104 = 26329371069
BaseRepresentation
bin11010010000001…
…11010111000000
3120100101220021120
431020013113000
5422334343404
633504152240
75312635122
oct1510072700
9510356246
10220231104
11103350985
1261908680
133681b982
142136b212
15145039d9
hexd2075c0

220231104 has 112 divisors (see below), whose sum is σ = 619658400. Its totient is φ = 68898816.

The previous prime is 220231103. The next prime is 220231139. The reversal of 220231104 is 401132022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220231103) 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 15 ways as a sum of consecutive naturals, for example, 205482 + ... + 206550.

Almost surely, 2220231104 is an apocalyptic number.

220231104 is a gapful number since it is divisible by the number (24) 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 220231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309829200).

220231104 is an abundant number, since it is smaller than the sum of its proper divisors (399427296).

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

220231104 is a wasteful number, since it uses less digits than its factorization.

220231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220231104 is about 14840.1854435853. The cubic root of 220231104 is about 603.8923832067.

Adding to 220231104 its reverse (401132022), we get a palindrome (621363126).

The spelling of 220231104 in words is "two hundred twenty million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 148 174 192 222 232 296 348 444 464 592 696 888 928 1069 1073 1184 1392 1776 1856 2138 2146 2368 2784 3207 3219 3552 4276 4292 5568 6414 6438 7104 8552 8584 12828 12876 17104 17168 25656 25752 31001 34208 34336 39553 51312 51504 62002 68416 68672 79106 93003 102624 103008 118659 124004 158212 186006 205248 206016 237318 248008 316424 372012 474636 496016 632848 744024 949272 992032 1147037 1265696 1488048 1898544 1984064 2294074 2531392 2976096 3441111 3797088 4588148 5952192 6882222 7594176 9176296 13764444 18352592 27528888 36705184 55057776 73410368 110115552 220231104