Search a number
-
+
17214212232 = 2333716369847
BaseRepresentation
bin10000000010000011…
…000000100010001000
31122102200120120212000
4100002003000202020
5240223314242412
611524052151000
71146404250450
oct200203004210
948380516760
1017214212232
117333a79488
123405008460
1318144b55c9
14b94320d60
156ab3dc4dc
hex4020c0888

17214212232 has 128 divisors (see below), whose sum is σ = 54984345600. Its totient is φ = 4888102464.

The previous prime is 17214212227. The next prime is 17214212243. The reversal of 17214212232 is 23221241271.

It is a happy number.

17214212232 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 421 + 2 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 17214212196 and 17214212205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211533 + ... + 281379.

It is an arithmetic number, because the mean of its divisors is an integer number (429565200).

Almost surely, 217214212232 is an apocalyptic number.

17214212232 is a gapful number since it is divisible by the number (12) 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 17214212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27492172800).

17214212232 is an abundant number, since it is smaller than the sum of its proper divisors (37770133368).

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

17214212232 is a wasteful number, since it uses less digits than its factorization.

17214212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70032 (or 70022 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The spelling of 17214212232 in words is "seventeen billion, two hundred fourteen million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 163 168 189 216 252 326 378 489 504 652 756 978 1141 1304 1467 1512 1956 2282 2934 3423 3912 4401 4564 5868 6846 8802 9128 10269 11736 13692 17604 20538 27384 30807 35208 41076 61614 69847 82152 123228 139694 209541 246456 279388 419082 488929 558776 628623 838164 977858 1257246 1466787 1676328 1885869 1955716 2514492 2933574 3771738 3911432 4400361 5028984 5867148 7543476 8800722 11385061 11734296 13201083 15086952 17601444 22770122 26402166 34155183 35202888 45540244 52804332 68310366 79695427 91080488 102465549 105608664 136620732 159390854 204931098 239086281 273241464 307396647 318781708 409862196 478172562 614793294 637563416 717258843 819724392 956345124 1229586588 1434517686 1912690248 2151776529 2459173176 2869035372 4303553058 5738070744 8607106116 17214212232