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32214030212 = 227213291972213
BaseRepresentation
bin11110000000000110…
…110001011110000100
310002011001101021212002
4132000012301132010
51011433242431322
622444322244432
72220202511300
oct360006613604
9102131337762
1032214030212
1112730a86771
1262b04b6718
133064c99850
1417b84d8d00
15c881b7c92
hex7801b1784

32214030212 has 144 divisors (see below), whose sum is σ = 73462379760. Its totient is φ = 12236571648.

The previous prime is 32214030203. The next prime is 32214030217. The reversal of 32214030212 is 21203041223.

It can be written as a sum of positive squares in 8 ways, for example, as 7093682176 + 25120348036 = 84224^2 + 158494^2 .

It is not an unprimeable number, because it can be changed into a prime (32214030217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14555618 + ... + 14557830.

It is an arithmetic number, because the mean of its divisors is an integer number (510155415).

Almost surely, 232214030212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32214030212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36731189880).

32214030212 is an abundant number, since it is smaller than the sum of its proper divisors (41248349548).

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

32214030212 is a wasteful number, since it uses less digits than its factorization.

32214030212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32214030212 its reverse (21203041223), we get a palindrome (53417071435).

The spelling of 32214030212 in words is "thirty-two billion, two hundred fourteen million, thirty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 197 203 364 377 394 406 637 754 788 812 1274 1379 1421 1508 2213 2548 2561 2639 2758 2842 4426 5122 5278 5516 5684 5713 8852 9653 10244 10556 11426 15491 17927 18473 19306 22852 28769 30982 35854 36946 38612 39991 57538 61964 64177 71708 73892 74269 79982 108437 115076 125489 128354 148538 159964 201383 216874 250978 256708 279937 297076 402766 433748 435961 449239 501956 519883 559874 805532 834301 871922 898478 1039766 1119748 1409681 1668602 1743844 1796956 2079532 2819362 3051727 3144673 3337204 3639181 5638724 5667493 5840107 6103454 6289346 7278362 11334986 11680214 12206908 12578692 12642869 14556724 21362089 22669972 23360428 25285738 39672451 40880749 42724178 50571476 79344902 81761498 85448356 88500083 158689804 163522996 164357297 177000166 277707157 328714594 354000332 555414314 619500581 657429188 1110828628 1150501079 1239001162 2301002158 2478002324 4602004316 8053507553 16107015106 32214030212