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221326290 = 233547107163
BaseRepresentation
bin11010011000100…
…10101111010010
3120102110112121000
431030102233102
5423124420130
633543442430
75325146103
oct1514225722
9512415530
10221326290
11103a29799
1262156416
1336b13303
14215743aa
151466d260
hexd312bd2

221326290 has 128 divisors (see below), whose sum is σ = 612126720. Its totient is φ = 56873664.

The previous prime is 221326279. The next prime is 221326319. The reversal of 221326290 is 92623122.

221326290 is a `hidden beast` number, since 2 + 2 + 1 + 32 + 629 + 0 = 666.

221326290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1357749 + ... + 1357911.

It is an arithmetic number, because the mean of its divisors is an integer number (4782240).

Almost surely, 2221326290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221326290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306063360).

221326290 is an abundant number, since it is smaller than the sum of its proper divisors (390800430).

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

221326290 is a wasteful number, since it uses less digits than its factorization.

221326290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 221326290 is about 14877.0390199125. The cubic root of 221326290 is about 604.8917594305.

The spelling of 221326290 in words is "two hundred twenty-one million, three hundred twenty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 107 135 141 163 214 235 270 282 321 326 423 470 489 535 642 705 815 846 963 978 1070 1269 1410 1467 1605 1630 1926 2115 2445 2538 2889 2934 3210 4230 4401 4815 4890 5029 5778 6345 7335 7661 8802 9630 10058 12690 14445 14670 15087 15322 17441 22005 22983 25145 28890 30174 34882 38305 44010 45261 45966 50290 52323 68949 75435 76610 87205 90522 104646 114915 135783 137898 150870 156969 174410 206847 226305 229830 261615 271566 313938 344745 413694 452610 470907 523230 678915 689490 784845 819727 941814 1034235 1357830 1569690 1639454 2068470 2354535 2459181 4098635 4709070 4918362 7377543 8197270 12295905 14755086 22132629 24591810 36887715 44265258 73775430 110663145 221326290