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64229004 = 22337253229
BaseRepresentation
bin1111010100000…
…0111010001100
311110212011122000
43311000322030
5112420312004
610212352300
71406636400
oct365007214
9143764560
1064229004
113328a224
1219615690
13103cab38
14875d100
15598ac39
hex3d40e8c

64229004 has 144 divisors (see below), whose sum is σ = 198223200. Its totient is φ = 17926272.

The previous prime is 64228979. The next prime is 64229017. The reversal of 64229004 is 40092246.

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

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, 280362 + ... + 280590.

It is an arithmetic number, because the mean of its divisors is an integer number (1376550).

Almost surely, 264229004 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 64229004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99111600).

64229004 is an abundant number, since it is smaller than the sum of its proper divisors (133994196).

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

64229004 is a wasteful number, since it uses less digits than its factorization.

64229004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64229004 is about 8014.2999694296. The cubic root of 64229004 is about 400.4765237540.

It can be divided in two parts, 642 and 29004, that added together give a triangular number (29646 = T243).

The spelling of 64229004 in words is "sixty-four million, two hundred twenty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 53 54 63 84 98 106 108 126 147 159 189 196 212 229 252 294 318 371 378 441 458 477 588 636 687 742 756 882 916 954 1113 1323 1374 1431 1484 1603 1764 1908 2061 2226 2597 2646 2748 2862 3206 3339 4122 4452 4809 5194 5292 5724 6183 6412 6678 7791 8244 9618 10017 10388 11221 12137 12366 13356 14427 15582 19236 20034 22442 23373 24274 24732 28854 31164 33663 36411 40068 43281 44884 46746 48548 57708 67326 70119 72822 84959 86562 93492 100989 109233 134652 140238 145644 169918 173124 201978 218466 254877 280476 302967 327699 339836 403956 436932 509754 594713 605934 655398 764631 1019508 1189426 1211868 1310796 1529262 1784139 2293893 2378852 3058524 3568278 4587786 5352417 7136556 9175572 10704834 16057251 21409668 32114502 64229004