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23114220 = 22351723143
BaseRepresentation
bin101100000101…
…1000111101100
31121111022202020
41120023013230
521404123340
62143230140
7400316253
oct130130754
947438666
1023114220
1112058068
1278a8350
134a33a6c
1430d979a
1520689d0
hex160b1ec

23114220 has 144 divisors (see below), whose sum is σ = 72619008. Its totient is φ = 5483520.

The previous prime is 23114197. The next prime is 23114239. The reversal of 23114220 is 2241132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23114220.

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, 537519 + ... + 537561.

Almost surely, 223114220 is an apocalyptic number.

23114220 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 23114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36309504).

23114220 is an abundant number, since it is smaller than the sum of its proper divisors (49504788).

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

23114220 is a wasteful number, since it uses less digits than its factorization.

23114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23114220 is about 4807.7250337348. The cubic root of 23114220 is about 284.8566838685.

Adding to 23114220 its reverse (2241132), we get a palindrome (25355352).

The spelling of 23114220 in words is "twenty-three million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 43 51 60 62 68 85 86 93 102 124 129 155 170 172 186 204 215 255 258 289 310 340 372 430 465 510 516 527 578 620 645 731 860 867 930 1020 1054 1156 1290 1333 1445 1462 1581 1734 1860 2108 2193 2580 2635 2666 2890 2924 3162 3468 3655 3999 4335 4386 5270 5332 5780 6324 6665 7310 7905 7998 8670 8772 8959 10540 10965 12427 13330 14620 15810 15996 17340 17918 19995 21930 22661 24854 26660 26877 31620 35836 37281 39990 43860 44795 45322 49708 53754 62135 67983 74562 79980 89590 90644 107508 113305 124270 134385 135966 149124 179180 186405 226610 248540 268770 271932 339915 372810 385237 453220 537540 679830 745620 770474 1155711 1359660 1540948 1926185 2311422 3852370 4622844 5778555 7704740 11557110 23114220