Search a number
-
+
23003100 = 22325261419
BaseRepresentation
bin101011110111…
…1111111011100
31121021200022200
41113233333130
521342044400
62141011500
7366344301
oct127577734
947250280
1023003100
1111a9162a
127853b90
1349c5303
1430ab0a8
152045b00
hex15effdc

23003100 has 108 divisors (see below), whose sum is σ = 73458840. Its totient is φ = 6019200.

The previous prime is 23003087. The next prime is 23003107. The reversal of 23003100 is 130032.

It is a happy number.

It is a super-2 number, since 2×230031002 = 1058285219220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54691 + ... + 55109.

Almost surely, 223003100 is an apocalyptic number.

23003100 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 23003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36729420).

23003100 is an abundant number, since it is smaller than the sum of its proper divisors (50455740).

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

23003100 is a wasteful number, since it uses less digits than its factorization.

23003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 23003100 is about 4796.1547097649. The cubic root of 23003100 is about 284.3994742048.

Adding to 23003100 its reverse (130032), we get a palindrome (23133132).

The spelling of 23003100 in words is "twenty-three million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 419 450 549 610 732 838 900 915 1098 1220 1257 1525 1676 1830 2095 2196 2514 2745 3050 3660 3771 4190 4575 5028 5490 6100 6285 7542 8380 9150 10475 10980 12570 13725 15084 18300 18855 20950 25140 25559 27450 31425 37710 41900 51118 54900 62850 75420 76677 94275 102236 125700 127795 153354 188550 230031 255590 306708 377100 383385 460062 511180 638975 766770 920124 1150155 1277950 1533540 1916925 2300310 2555900 3833850 4600620 5750775 7667700 11501550 23003100