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221320231320 = 233513914989051
BaseRepresentation
bin1100111000011110110…
…1101011100110011000
3210011021012001122122110
43032013231223212120
512111230434400240
6245401220352320
721663343632546
oct3160755534630
9704235048573
10221320231320
1185952556591
1236a878456a0
1317b41396576
14a9d7872d96
155b55079c80
hex3387b6b998

221320231320 has 128 divisors (see below), whose sum is σ = 673233120000. Its totient is φ = 58200230400.

The previous prime is 221320231259. The next prime is 221320231337. The reversal of 221320231320 is 23132023122.

It is a happy number.

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, 2440795 + ... + 2529845.

It is an arithmetic number, because the mean of its divisors is an integer number (5259633750).

Almost surely, 2221320231320 is an apocalyptic number.

221320231320 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 221320231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336616560000).

221320231320 is an abundant number, since it is smaller than the sum of its proper divisors (451912888680).

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

221320231320 is a wasteful number, since it uses less digits than its factorization.

221320231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89353 (or 89349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221320231320 its reverse (23132023122), we get a palindrome (244452254442).

The spelling of 221320231320 in words is "two hundred twenty-one billion, three hundred twenty million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 149 278 298 417 447 556 596 695 745 834 894 1112 1192 1390 1490 1668 1788 2085 2235 2780 2980 3336 3576 4170 4470 5560 5960 8340 8940 16680 17880 20711 41422 62133 82844 89051 103555 124266 165688 178102 207110 248532 267153 310665 356204 414220 445255 497064 534306 621330 712408 828440 890510 1068612 1242660 1335765 1781020 2137224 2485320 2671530 3562040 5343060 10686120 12378089 13268599 24756178 26537198 37134267 39805797 49512356 53074396 61890445 66342995 74268534 79611594 99024712 106148792 123780890 132685990 148537068 159223188 185671335 199028985 247561780 265371980 297074136 318446376 371342670 398057970 495123560 530743960 742685340 796115940 1485370680 1592231880 1844335261 3688670522 5533005783 7377341044 9221676305 11066011566 14754682088 18443352610 22132023132 27665028915 36886705220 44264046264 55330057830 73773410440 110660115660 221320231320