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221323233320 = 2357395316927
BaseRepresentation
bin1100111000011111100…
…1001000100000101000
3210011021101201011121122
43032013321020200220
512111232221431240
6245401404554412
721663411305000
oct3160771104050
9704241634548
10221323233320
1185954216a82
1236a88852a08
1317b41ba7ab7
14a9d8015000
155b5546e4b5
hex3387e48828

221323233320 has 128 divisors (see below), whose sum is σ = 581375232000. Its totient is φ = 75798148608.

The previous prime is 221323233317. The next prime is 221323233323. The reversal of 221323233320 is 23332323122.

It is an interprime number because it is at equal distance from previous prime (221323233317) and next prime (221323233323).

It is a self number, because there is not a number n which added to its sum of digits gives 221323233320.

It is not an unprimeable number, because it can be changed into a prime (221323233323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13066697 + ... + 13083623.

It is an arithmetic number, because the mean of its divisors is an integer number (4541994000).

Almost surely, 2221323233320 is an apocalyptic number.

221323233320 is a gapful number since it is divisible by the number (20) 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 221323233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290687616000).

221323233320 is an abundant number, since it is smaller than the sum of its proper divisors (360051998680).

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

221323233320 is a wasteful number, since it uses less digits than its factorization.

221323233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17912 (or 17894 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 221323233320 its reverse (23332323122), we get a palindrome (244655556442).

The spelling of 221323233320 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 953 980 1372 1715 1906 1960 2744 3430 3812 4765 6671 6860 7624 9530 13342 13720 16927 19060 26684 33355 33854 38120 46697 53368 66710 67708 84635 93394 118489 133420 135416 169270 186788 233485 236978 266840 326879 338540 373576 466970 473956 592445 653758 677080 829423 933940 947912 1184890 1307516 1634395 1658846 1867880 2369780 2615032 3268790 3317692 4147115 4739560 5805961 6537580 6635384 8294230 11611922 13075160 16131431 16588460 23223844 29029805 32262862 33176920 46447688 58059610 64525724 80657155 112920017 116119220 129051448 161314310 225840034 232238440 322628620 451680068 564600085 645257240 790440119 903360136 1129200170 1580880238 2258400340 3161760476 3952200595 4516800680 5533080833 6323520952 7904401190 11066161666 15808802380 22132323332 27665404165 31617604760 44264646664 55330808330 110661616660 221323233320