Search a number
-
+
23201789400 = 23325212889883
BaseRepresentation
bin10101100110111011…
…110011010111011000
32012212222021000121100
4111212323303113120
5340004124230100
614354142511400
71450650645606
oct254673632730
965788230540
1023201789400
119926894869
1245b6295560
132259b21a8a
1411a1618876
1590bdbe400
hex566ef35d8

23201789400 has 72 divisors (see below), whose sum is σ = 77919348780. Its totient is φ = 6187143360.

The previous prime is 23201789339. The next prime is 23201789411. The reversal of 23201789400 is 498710232.

23201789400 is a `hidden beast` number, since 232 + 0 + 17 + 8 + 9 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6443142 + ... + 6446741.

Almost surely, 223201789400 is an apocalyptic number.

23201789400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23201789400 is an abundant number, since it is smaller than the sum of its proper divisors (54717559380).

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

23201789400 is a wasteful number, since it uses less digits than its factorization.

23201789400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889905 (or 12889893 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 23201789400 in words is "twenty-three billion, two hundred one million, seven hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12889883 25779766 38669649 51559532 64449415 77339298 103119064 116008947 128898830 154678596 193348245 232017894 257797660 309357192 322247075 386696490 464035788 515595320 580044735 644494150 773392980 928071576 966741225 1160089470 1288988300 1546785960 1933482450 2320178940 2577976600 2900223675 3866964900 4640357880 5800447350 7733929800 11600894700 23201789400