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221067264 = 2113113271
BaseRepresentation
bin11010010110100…
…11100000000000
3120101222101021110
431023103200000
5423043123024
633534123320
75323016655
oct1513234000
9511871243
10221067264
11103872120
1262050540
1336a52442
1421507c2c
151461b629
hexd2d3800

221067264 has 96 divisors (see below), whose sum is σ = 643144320. Its totient is φ = 66969600.

The previous prime is 221067239. The next prime is 221067281. The reversal of 221067264 is 462760122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65949 + ... + 69219.

It is an arithmetic number, because the mean of its divisors is an integer number (6699420).

Almost surely, 2221067264 is an apocalyptic number.

221067264 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 221067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321572160).

221067264 is an abundant number, since it is smaller than the sum of its proper divisors (422077056).

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

221067264 is a wasteful number, since it uses less digits than its factorization.

221067264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 221067264 is about 14868.3309083434. The cubic root of 221067264 is about 604.6556918936.

The spelling of 221067264 in words is "two hundred twenty-one million, sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 3271 4224 5632 6144 6542 8448 9813 11264 13084 16896 19626 22528 26168 33792 35981 39252 52336 67584 71962 78504 104672 107943 143924 157008 209344 215886 287848 314016 418688 431772 575696 628032 837376 863544 1151392 1256064 1674752 1727088 2302784 2512128 3349504 3454176 4605568 5024256 6699008 6908352 9211136 10048512 13816704 18422272 20097024 27633408 36844544 55266816 73689088 110533632 221067264