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23111220 = 22351119297
BaseRepresentation
bin101100000101…
…0011000110100
31121111011122010
41120022120310
521404024340
62143204220
7400304436
oct130123064
947434563
1023111220
1112055890
1278a6670
134a325a2
1430d8656
152067b80
hex160a634

23111220 has 144 divisors (see below), whose sum is σ = 75273408. Its totient is φ = 5253120.

The previous prime is 23111219. The next prime is 23111237. The reversal of 23111220 is 2211132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23111196 and 23111205.

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, 238212 + ... + 238308.

It is an arithmetic number, because the mean of its divisors is an integer number (522732).

Almost surely, 223111220 is an apocalyptic number.

23111220 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 23111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37636704).

23111220 is an abundant number, since it is smaller than the sum of its proper divisors (52162188).

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

23111220 is a wasteful number, since it uses less digits than its factorization.

23111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 23111220 is about 4807.4130257343. The cubic root of 23111220 is about 284.8443594635.

Adding to 23111220 its reverse (2211132), we get a palindrome (25322352).

It can be divided in two parts, 231112 and 20, that added together give a palindrome (231132).

The spelling of 23111220 in words is "twenty-three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 97 110 114 132 165 190 194 209 220 228 285 291 330 361 380 388 418 485 570 582 627 660 722 836 970 1045 1067 1083 1140 1164 1254 1444 1455 1805 1843 1940 2090 2134 2166 2508 2910 3135 3201 3610 3686 3971 4180 4268 4332 5335 5415 5529 5820 6270 6402 7220 7372 7942 9215 10670 10830 11058 11913 12540 12804 15884 16005 18430 19855 20273 21340 21660 22116 23826 27645 32010 35017 36860 39710 40546 47652 55290 59565 60819 64020 70034 79420 81092 101365 105051 110580 119130 121638 140068 175085 202730 210102 238260 243276 304095 350170 385187 405460 420204 525255 608190 700340 770374 1050510 1155561 1216380 1540748 1925935 2101020 2311122 3851870 4622244 5777805 7703740 11555610 23111220