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221014992 = 243111922031
BaseRepresentation
bin11010010110001…
…10101111010000
3120101212201120110
431023012233100
5423034434432
633533041320
75322411402
oct1513065720
9511781513
10221014992
11103836920
1262026240
1336a34703
14214d2b72
151460adcc
hexd2c6bd0

221014992 has 80 divisors (see below), whose sum is σ = 655672320. Its totient is φ = 63446400.

The previous prime is 221014961. The next prime is 221014993. The reversal of 221014992 is 299410122.

It is a happy number.

221014992 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 (221014993) 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, 984 + ... + 21047.

It is an arithmetic number, because the mean of its divisors is an integer number (8195904).

Almost surely, 2221014992 is an apocalyptic number.

221014992 is a gapful number since it is divisible by the number (22) 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 221014992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327836160).

221014992 is an abundant number, since it is smaller than the sum of its proper divisors (434657328).

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

221014992 is a wasteful number, since it uses less digits than its factorization.

221014992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22072 (or 22066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 221014992 is about 14866.5729742937. The cubic root of 221014992 is about 604.6080306023.

The spelling of 221014992 in words is "two hundred twenty-one million, fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 22031 44062 66093 88124 132186 176248 242341 264372 352496 418589 484682 528744 727023 837178 969364 1057488 1255767 1454046 1674356 1938728 2511534 2908092 3348712 3877456 4604479 5023068 5816184 6697424 9208958 10046136 11632368 13813437 18417916 20092272 27626874 36835832 55253748 73671664 110507496 221014992