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20233400 = 23521117541
BaseRepresentation
bin100110100101…
…1110010111000
31102001222000012
41031023302320
520134432100
62001401052
7333660335
oct115136270
942058005
1020233400
111046a720
126939188
134265735
14298998c
151b9a135
hex134bcb8

20233400 has 96 divisors (see below), whose sum is σ = 54438480. Its totient is φ = 6912000.

The previous prime is 20233363. The next prime is 20233427. The reversal of 20233400 is 433202.

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 23 ways as a sum of consecutive naturals, for example, 37130 + ... + 37670.

Almost surely, 220233400 is an apocalyptic number.

20233400 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 20233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27219240).

20233400 is an abundant number, since it is smaller than the sum of its proper divisors (34205080).

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

20233400 is a wasteful number, since it uses less digits than its factorization.

20233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 20233400 is about 4498.1551774033. The cubic root of 20233400 is about 272.4935890532.

Adding to 20233400 its reverse (433202), we get a palindrome (20666602).

The spelling of 20233400 in words is "twenty million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 541 550 680 748 850 935 1082 1100 1496 1700 1870 2164 2200 2705 3400 3740 4328 4675 5410 5951 7480 9197 9350 10820 11902 13525 18394 18700 21640 23804 27050 29755 36788 37400 45985 47608 54100 59510 73576 91970 101167 108200 119020 148775 183940 202334 229925 238040 297550 367880 404668 459850 505835 595100 809336 919700 1011670 1190200 1839400 2023340 2529175 4046680 5058350 10116700 20233400