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221303023333230 = 235372275231679333
BaseRepresentation
bin110010010100011000100000…
…000101111110111101101110
31002000120100210012101020222010
4302110120200011332331232
5213001312042433130410
62102401112211502050
764420421136044526
oct6224304005767556
91060510705336863
10221303023333230
11645720a334a583
12209a20128b7926
139663a29b30c07
143c911a2b88686
151a8b8ed49cc20
hexc9462017ef6e

221303023333230 has 128 divisors (see below), whose sum is σ = 548932959548928. Its totient is φ = 57056876554752.

The previous prime is 221303023333211. The next prime is 221303023333253. The reversal of 221303023333230 is 32333320303122.

221303023333230 is digitally balanced in base 2 and base 4, because in such bases 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 (30).

It is a Curzon number.

It is a congruent number.

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, 130940644 + ... + 132619976.

It is an arithmetic number, because the mean of its divisors is an integer number (4288538746476).

Almost surely, 2221303023333230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221303023333230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274466479774464).

221303023333230 is an abundant number, since it is smaller than the sum of its proper divisors (327629936215698).

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

221303023333230 is a wasteful number, since it uses less digits than its factorization.

221303023333230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680130.

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 221303023333230 its reverse (32333320303122), we get a palindrome (253636343636352).

The spelling of 221303023333230 in words is "two hundred twenty-one trillion, three hundred three billion, twenty-three million, three hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 227 370 454 523 555 681 1046 1110 1135 1362 1569 2270 2615 3138 3405 5230 6810 7845 8399 15690 16798 19351 25197 38702 41995 50394 58053 83990 96755 116106 118721 125985 193510 237442 251970 290265 356163 580530 593605 712326 1187210 1679333 1780815 3358666 3561630 4392677 5037999 8396665 8785354 10075998 13178031 16793330 21963385 25189995 26356062 43926770 50379990 62135321 65890155 124270642 131780310 186405963 310676605 372811926 381208591 621353210 762417182 878291159 932029815 1143625773 1756582318 1864059630 1906042955 2287251546 2634873477 3812085910 4391455795 5269746954 5718128865 8782911590 11436257730 13174367385 14104717867 26348734770 28209435734 32496772883 42314153601 64993545766 70523589335 84628307202 97490318649 141047178670 162483864415 194980637298 199372093093 211570768005 324967728830 398744186186 423141536010 487451593245 598116279279 974903186490 996860465465 1196232558558 1993720930930 2990581396395 5981162792790 7376767444441 14753534888882 22130302333323 36883837222205 44260604666646 73767674444410 110651511666615 221303023333230