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1223213420 = 22511132112027
BaseRepresentation
bin100100011101000…
…1100000101101100
310011020200200100202
41020322030011230
510001120312140
6321213413032
742212066612
oct11072140554
93136620322
101223213420
11578521390
122a179a178
13166561430
14b86536b2
15725c3915
hex48e8c16c

1223213420 has 96 divisors (see below), whose sum is σ = 3033628416. Its totient is φ = 408441600.

The previous prime is 1223213363. The next prime is 1223213437. The reversal of 1223213420 is 243123221.

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 = 1223213392 and 1223213401.

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, 602447 + ... + 604473.

It is an arithmetic number, because the mean of its divisors is an integer number (31600296).

Almost surely, 21223213420 is an apocalyptic number.

1223213420 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 1223213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516814208).

1223213420 is an abundant number, since it is smaller than the sum of its proper divisors (1810414996).

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

1223213420 is a wasteful number, since it uses less digits than its factorization.

1223213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1223213420 is about 34974.4681160415. The cubic root of 1223213420 is about 1069.4670592565.

Adding to 1223213420 its reverse (243123221), we get a palindrome (1466336641).

It can be divided in two parts, 12232 and 13420, that added together give a palindrome (25652).

The spelling of 1223213420 in words is "one billion, two hundred twenty-three million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 211 220 260 286 422 572 715 844 1055 1430 2027 2110 2321 2743 2860 4054 4220 4642 5486 8108 9284 10135 10972 11605 13715 20270 22297 23210 26351 27430 30173 40540 44594 46420 52702 54860 60346 89188 105404 111485 120692 131755 150865 222970 263510 289861 301730 427697 445940 527020 579722 603460 855394 1159444 1449305 1710788 2138485 2898610 4276970 4704667 5560061 5797220 8553940 9409334 11120122 18818668 22240244 23523335 27800305 47046670 55600610 61160671 94093340 111201220 122321342 244642684 305803355 611606710 1223213420