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23223420 = 223251137317
BaseRepresentation
bin101100010010…
…1110001111100
31121200212112200
41120211301330
521421122140
62145431500
7401252523
oct130456174
947625480
1023223420
1112122110
12793b590
134a7168c
1431274ba
15208b030
hex1625c7c

23223420 has 144 divisors (see below), whose sum is σ = 79174368. Its totient is φ = 5460480.

The previous prime is 23223401. The next prime is 23223439. The reversal of 23223420 is 2432232.

23223420 is a `hidden beast` number, since 2 + 322 + 342 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23223401) and next prime (23223439).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23223393 and 23223402.

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 47 ways as a sum of consecutive naturals, for example, 73102 + ... + 73418.

It is an arithmetic number, because the mean of its divisors is an integer number (549822).

Almost surely, 223223420 is an apocalyptic number.

23223420 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 23223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39587184).

23223420 is an abundant number, since it is smaller than the sum of its proper divisors (55950948).

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

23223420 is a wasteful number, since it uses less digits than its factorization.

23223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23223420 is about 4819.0683746965. The cubic root of 23223420 is about 285.3045682175.

Adding to 23223420 its reverse (2432232), we get a palindrome (25655652).

The spelling of 23223420 in words is "twenty-three million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 317 330 333 370 396 407 444 495 555 634 660 666 740 814 951 990 1110 1221 1268 1332 1585 1628 1665 1902 1980 2035 2220 2442 2853 3170 3330 3487 3663 3804 4070 4755 4884 5706 6105 6340 6660 6974 7326 8140 9510 10461 11412 11729 12210 13948 14265 14652 17435 18315 19020 20922 23458 24420 28530 31383 34870 35187 36630 41844 46916 52305 57060 58645 62766 69740 70374 73260 104610 105561 117290 125532 129019 140748 156915 175935 209220 211122 234580 258038 313830 351870 387057 422244 516076 527805 627660 645095 703740 774114 1055610 1161171 1290190 1548228 1935285 2111220 2322342 2580380 3870570 4644684 5805855 7741140 11611710 23223420