Search a number
-
+
23870220 = 22351159613
BaseRepresentation
bin101101100001…
…1101100001100
31122220201210020
41123003230030
522102321340
62211342140
7406615323
oct133035414
948821706
1023870220
1112524060
127bb1950
134c39bba
1432550ba
1521679d0
hex16c3b0c

23870220 has 96 divisors (see below), whose sum is σ = 74269440. Its totient is φ = 5679360.

The previous prime is 23870191. The next prime is 23870221. The reversal of 23870220 is 2207832.

It is not an unprimeable number, because it can be changed into a prime (23870221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38634 + ... + 39246.

It is an arithmetic number, because the mean of its divisors is an integer number (773640).

Almost surely, 223870220 is an apocalyptic number.

23870220 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 23870220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37134720).

23870220 is an abundant number, since it is smaller than the sum of its proper divisors (50399220).

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

23870220 is a wasteful number, since it uses less digits than its factorization.

23870220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 23870220 is about 4885.7159147867. The cubic root of 23870220 is about 287.9290430902.

It can be divided in two parts, 23870 and 220, that added together give a triangular number (24090 = T219).

The spelling of 23870220 in words is "twenty-three million, eight hundred seventy thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 613 649 660 708 885 1180 1226 1298 1770 1839 1947 2452 2596 3065 3245 3540 3678 3894 6130 6490 6743 7356 7788 9195 9735 12260 12980 13486 18390 19470 20229 26972 33715 36167 36780 38940 40458 67430 72334 80916 101145 108501 134860 144668 180835 202290 217002 361670 397837 404580 434004 542505 723340 795674 1085010 1193511 1591348 1989185 2170020 2387022 3978370 4774044 5967555 7956740 11935110 23870220