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1223222420 = 2257171932663
BaseRepresentation
bin100100011101000…
…1110010010010100
310011020201010201002
41020322032102110
510001121104140
6321213522432
742212135060
oct11072162224
93136633632
101223222420
11578528122
122a17a3418
13166565564
14b8656aa0
15725c6415
hex48e8e494

1223222420 has 96 divisors (see below), whose sum is σ = 3125703168. Its totient is φ = 392527872.

The previous prime is 1223222411. The next prime is 1223222443. The reversal of 1223222420 is 242223221.

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 = 1223222392 and 1223222401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458009 + ... + 460671.

It is an arithmetic number, because the mean of its divisors is an integer number (32559408).

Almost surely, 21223222420 is an apocalyptic number.

1223222420 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 1223222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562851584).

1223222420 is an abundant number, since it is smaller than the sum of its proper divisors (1902480748).

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

1223222420 is a wasteful number, since it uses less digits than its factorization.

1223222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1223222420 is about 34974.5967810924. The cubic root of 1223222420 is about 1069.4696821785.

Adding to 1223222420 its reverse (242223221), we get a palindrome (1465445641).

The spelling of 1223222420 in words is "one billion, two hundred twenty-three million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 193 238 340 386 476 595 772 965 1190 1351 1930 2380 2663 2702 3281 3860 5326 5404 6562 6755 10652 13124 13315 13510 16405 18641 22967 26630 27020 32810 37282 45271 45934 53260 65620 74564 90542 91868 93205 114835 181084 186410 226355 229670 316897 372820 452710 459340 513959 633794 905420 1027918 1267588 1584485 2055836 2569795 3168970 3597713 5139590 6337940 7195426 8737303 10279180 14390852 17474606 17988565 34949212 35977130 43686515 61161121 71954260 87373030 122322242 174746060 244644484 305805605 611611210 1223222420