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1222401320 = 235717713617
BaseRepresentation
bin100100011011100…
…0101110100101000
310011012011102100222
41020313011310220
510000413320240
6321144145212
742202145150
oct11067056450
93135142328
101222401320
11578017228
122a1468208
131663388ba
14b84c1760
15724b2eb5
hex48dc5d28

1222401320 has 128 divisors (see below), whose sum is σ = 3376028160. Its totient is φ = 388792320.

The previous prime is 1222401317. The next prime is 1222401373. The reversal of 1222401320 is 231042221.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 336152 + ... + 339768.

It is an arithmetic number, because the mean of its divisors is an integer number (26375220).

Almost surely, 21222401320 is an apocalyptic number.

1222401320 is a gapful number since it is divisible by the number (10) 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 1222401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688014080).

1222401320 is an abundant number, since it is smaller than the sum of its proper divisors (2153626840).

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

1222401320 is a wasteful number, since it uses less digits than its factorization.

1222401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1222401320 is about 34962.8562906408. The cubic root of 1222401320 is about 1069.2303312907.

Adding to 1222401320 its reverse (231042221), we get a palindrome (1453443541).

The spelling of 1222401320 in words is "one billion, two hundred twenty-two million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 71 85 119 136 140 142 170 238 280 284 340 355 476 497 568 595 680 710 952 994 1190 1207 1420 1988 2380 2414 2485 2840 3617 3976 4760 4828 4970 6035 7234 8449 9656 9940 12070 14468 16898 18085 19880 24140 25319 28936 33796 36170 42245 48280 50638 61489 67592 72340 84490 101276 122978 126595 144680 168980 202552 245956 253190 256807 307445 337960 430423 491912 506380 513614 614890 860846 1012760 1027228 1229780 1284035 1721692 1797649 2054456 2152115 2459560 2568070 3443384 3595298 4304230 4365719 5136140 7190596 8608460 8731438 8988245 10272280 14381192 17216920 17462876 17976490 21828595 30560033 34925752 35952980 43657190 61120066 71905960 87314380 122240132 152800165 174628760 244480264 305600330 611200660 1222401320