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23214282 = 23713174161
BaseRepresentation
bin101100010001…
…1100011001010
31121200102000020
41120203203022
521420324112
62145321310
7401214060
oct130434312
947612006
1023214282
1112116263
127936236
134a6a480
143124030
15208848c
hex16238ca

23214282 has 128 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5529600.

The previous prime is 23214277. The next prime is 23214307. The reversal of 23214282 is 28241232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380532 + ... + 380592.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 223214282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

23214282 is an abundant number, since it is smaller than the sum of its proper divisors (39781686).

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

23214282 is a wasteful number, since it uses less digits than its factorization.

23214282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 1536, while the sum is 24.

The square root of 23214282 is about 4818.1201728475. The cubic root of 23214282 is about 285.2671425617.

The spelling of 23214282 in words is "twenty-three million, two hundred fourteen thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 41 42 51 61 78 82 91 102 119 122 123 182 183 221 238 246 273 287 357 366 427 442 533 546 574 663 697 714 793 854 861 1037 1066 1281 1326 1394 1547 1586 1599 1722 2074 2091 2379 2501 2562 3094 3111 3198 3731 4182 4641 4758 4879 5002 5551 6222 7259 7462 7503 9061 9282 9758 11102 11193 13481 14518 14637 15006 16653 17507 18122 21777 22386 26962 27183 29274 32513 33306 35014 40443 42517 43554 52521 54366 63427 65026 80886 85034 94367 97539 105042 126854 127551 188734 190281 195078 227591 255102 283101 297619 380562 455182 552721 566202 595238 682773 892857 1105442 1365546 1658163 1785714 3316326 3869047 7738094 11607141 23214282