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23213120 = 265743241
BaseRepresentation
bin101100010001…
…1010001000000
31121200100102012
41120203101000
521420304440
62145312052
7401210510
oct130432100
947610365
1023213120
11121153a7
127935628
134a69a98
143123840
152087e65
hex1623440

23213120 has 112 divisors (see below), whose sum is σ = 64910208. Its totient is φ = 7741440.

The previous prime is 23213087. The next prime is 23213131. The reversal of 23213120 is 2131232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 23213095 and 23213104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96200 + ... + 96440.

Almost surely, 223213120 is an apocalyptic number.

23213120 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 23213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455104).

23213120 is an abundant number, since it is smaller than the sum of its proper divisors (41697088).

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

23213120 is a wasteful number, since it uses less digits than its factorization.

23213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 23213120 is about 4817.9995848900. Note that the first 3 decimals coincide. The cubic root of 23213120 is about 285.2623827627.

Adding to 23213120 its reverse (2131232), we get a palindrome (25344352).

The spelling of 23213120 in words is "twenty-three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 140 160 172 215 224 241 280 301 320 344 430 448 482 560 602 688 860 964 1120 1204 1205 1376 1505 1687 1720 1928 2240 2408 2410 2752 3010 3374 3440 3856 4816 4820 6020 6748 6880 7712 8435 9632 9640 10363 12040 13496 13760 15424 16870 19264 19280 20726 24080 26992 33740 38560 41452 48160 51815 53984 67480 72541 77120 82904 96320 103630 107968 134960 145082 165808 207260 269920 290164 331616 362705 414520 539840 580328 663232 725410 829040 1160656 1450820 1658080 2321312 2901640 3316160 4642624 5803280 11606560 23213120