Search a number
-
+
23402405400 = 23352113545819
BaseRepresentation
bin10101110010111001…
…000101111000011000
32020101221202101000120
4111302321011320120
5340412003433100
614430110433240
71455635110113
oct256271057030
966357671016
1023402405400
119a1a058610
124651502820
13228c56357a
1411c011b57a
1591e7eb0a0
hex572e45e18

23402405400 has 96 divisors (see below), whose sum is σ = 79142702400. Its totient is φ = 5673308800.

The previous prime is 23402405381. The next prime is 23402405417. The reversal of 23402405400 is 450420432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766310 + ... + 1779509.

It is an arithmetic number, because the mean of its divisors is an integer number (824403150).

Almost surely, 223402405400 is an apocalyptic number.

23402405400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23402405400 is an abundant number, since it is smaller than the sum of its proper divisors (55740297000).

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

23402405400 is a wasteful number, since it uses less digits than its factorization.

23402405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545849 (or 3545840 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 23402405400 its reverse (450420432), we get a palindrome (23852825832).

The spelling of 23402405400 in words is "twenty-three billion, four hundred two million, four hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 3545819 7091638 10637457 14183276 17729095 21274914 28366552 35458190 39004009 42549828 53187285 70916380 78008018 85099656 88645475 106374570 117012027 141832760 156016036 177290950 195020045 212749140 234024054 265936425 312032072 354581900 390040090 425498280 468048108 531872850 585060135 709163800 780080180 936096216 975100225 1063745700 1170120270 1560160360 1950200450 2127491400 2340240540 2925300675 3900400900 4680481080 5850601350 7800801800 11701202700 23402405400