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219769230 = 23531383617
BaseRepresentation
bin11010001100101…
…10100110001110
3120022112102201010
431012112212032
5422230103410
633450230050
75306002422
oct1506264616
9508472633
10219769230
1110306596a
1261725326
13366b9685
142128ab82
1514461c20
hexd19698e

219769230 has 64 divisors (see below), whose sum is σ = 546766848. Its totient is φ = 56474880.

The previous prime is 219769223. The next prime is 219769241. The reversal of 219769230 is 32967912.

219769230 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355882 + ... + 356498.

It is an arithmetic number, because the mean of its divisors is an integer number (8543232).

Almost surely, 2219769230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219769230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273383424).

219769230 is an abundant number, since it is smaller than the sum of its proper divisors (326997618).

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

219769230 is a wasteful number, since it uses less digits than its factorization.

219769230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 219769230 is about 14824.6156779864. The cubic root of 219769230 is about 603.4699218309.

The spelling of 219769230 in words is "two hundred nineteen million, seven hundred sixty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 383 465 617 766 930 1149 1234 1851 1915 2298 3085 3702 3830 5745 6170 9255 11490 11873 18510 19127 23746 35619 38254 57381 59365 71238 95635 114762 118730 178095 191270 236311 286905 356190 472622 573810 708933 1181555 1417866 2363110 3544665 7089330 7325641 14651282 21976923 36628205 43953846 73256410 109884615 219769230