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221226096 = 24371350647
BaseRepresentation
bin11010010111110…
…10010001110000
3120102021110011010
431023322101300
5423113213341
633541350520
75324251020
oct1513722160
9512243133
10221226096
11103970493
1262108440
1336aa9820
1421549a80
151464d716
hexd2fa470

221226096 has 80 divisors (see below), whose sum is σ = 703399424. Its totient is φ = 58344192.

The previous prime is 221226091. The next prime is 221226097. The reversal of 221226096 is 690622122.

221226096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221226091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20956 + ... + 29691.

Almost surely, 2221226096 is an apocalyptic number.

221226096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

221226096 is an abundant number, since it is smaller than the sum of its proper divisors (482173328).

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

221226096 is a wasteful number, since it uses less digits than its factorization.

221226096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50678 (or 50672 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 221226096 is about 14873.6712347692. The cubic root of 221226096 is about 604.8004678617.

It can be divided in two parts, 2212260 and 96, that added together give a triangular number (2212356 = T2103).

The spelling of 221226096 in words is "two hundred twenty-one million, two hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 50647 101294 151941 202588 303882 354529 405176 607764 658411 709058 810352 1063587 1215528 1316822 1418116 1975233 2127174 2431056 2633644 2836232 3950466 4254348 4608877 5267288 5672464 7900932 8508696 9217754 10534576 13826631 15801864 17017392 18435508 27653262 31603728 36871016 55306524 73742032 110613048 221226096