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23020020 = 223251953127
BaseRepresentation
bin101011111010…
…0000111110100
31121022112112100
41113310013310
521343120040
62141222100
7366444522
oct127640764
947275470
1023020020
1111aa3311
127861930
1349ccc1a
1430b3312
15204ab30
hex15f41f4

23020020 has 144 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 5660928.

The previous prime is 23020013. The next prime is 23020051. The reversal of 23020020 is 2002032.

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 23019984 and 23020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181197 + ... + 181323.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 223020020 is an apocalyptic number.

23020020 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 23020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

23020020 is an abundant number, since it is smaller than the sum of its proper divisors (52459020).

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

23020020 is a wasteful number, since it uses less digits than its factorization.

23020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23020020 is about 4797.9182985958. The cubic root of 23020020 is about 284.4691874138.

Adding to 23020020 its reverse (2002032), we get a palindrome (25022052).

The spelling of 23020020 in words is "twenty-three million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 127 159 171 180 190 212 228 254 265 285 318 342 380 381 477 508 530 570 635 636 684 762 795 855 954 1007 1060 1140 1143 1270 1524 1590 1710 1905 1908 2014 2286 2385 2413 2540 3021 3180 3420 3810 4028 4572 4770 4826 5035 5715 6042 6731 7239 7620 9063 9540 9652 10070 11430 12065 12084 13462 14478 15105 18126 20140 20193 21717 22860 24130 26924 28956 30210 33655 36195 36252 40386 43434 45315 48260 60420 60579 67310 72390 80772 86868 90630 100965 108585 121158 127889 134620 144780 181260 201930 217170 242316 255778 302895 383667 403860 434340 511556 605790 639445 767334 1151001 1211580 1278890 1534668 1918335 2302002 2557780 3836670 4604004 5755005 7673340 11510010 23020020