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221331210320 = 245111716219127
BaseRepresentation
bin1100111000100001011…
…1100100000001010000
3210011021221201110000002
43032020113210001100
512111241242212240
6245402251545132
721663536150363
oct3161027440120
9704257643002
10221331210320
1185958775240
1236a8b45b1a8
1317b4373b90c
14a9d90d00da
155b55ee7d15
hex33885e4050

221331210320 has 160 divisors (see below), whose sum is σ = 594830428416. Its totient is φ = 75694694400.

The previous prime is 221331210319. The next prime is 221331210341. The reversal of 221331210320 is 23012133122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221331210292 and 221331210301.

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, 24245597 + ... + 24254723.

Almost surely, 2221331210320 is an apocalyptic number.

221331210320 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 221331210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297415214208).

221331210320 is an abundant number, since it is smaller than the sum of its proper divisors (373499218096).

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

221331210320 is a wasteful number, since it uses less digits than its factorization.

221331210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 221331210320 its reverse (23012133122), we get a palindrome (244343343442).

The spelling of 221331210320 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1621 1870 2992 3242 3740 6484 7480 8105 9127 12968 14960 16210 17831 18254 25936 27557 32420 35662 36508 45635 55114 64840 71324 73016 89155 91270 100397 110228 129680 137785 142648 146032 155159 178310 182540 200794 220456 275570 285296 303127 310318 356620 365080 401588 440912 501985 551140 606254 620636 713240 730160 775795 803176 1003970 1102280 1212508 1241272 1426480 1515635 1551590 1606352 1706749 2007940 2204560 2425016 2482544 3031270 3103180 3413498 4015880 4850032 6062540 6206360 6826996 8031760 8533745 12125080 12412720 13653992 14794867 17067490 24250160 27307984 29589734 34134980 59179468 68269960 73974335 118358936 136539920 147948670 162743537 236717872 251512739 295897340 325487074 503025478 591794680 650974148 813717685 1006050956 1183589360 1257563695 1301948296 1627435370 2012101912 2515127390 2603896592 2766640129 3254870740 4024203824 5030254780 5533280258 6509741480 10060509560 11066560516 13019482960 13833200645 20121019120 22133121032 27666401290 44266242064 55332802580 110665605160 221331210320