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4004222460 = 2235716757089
BaseRepresentation
bin1110111010101011…
…1001010111111100
3101100001122120120120
43232222321113330
531200040104320
61501200214540
7201141220650
oct35652712774
911301576516
104004222460
111775308667
1293900a450
134ba76c604
1429db32a60
1518680b440
hexeeab95fc

4004222460 has 96 divisors (see below), whose sum is σ = 12890465280. Its totient is φ = 909754368.

The previous prime is 4004222441. The next prime is 4004222527. The reversal of 4004222460 is 642224004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004222460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41596 + ... + 98684.

It is an arithmetic number, because the mean of its divisors is an integer number (134275680).

Almost surely, 24004222460 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 4004222460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445232640).

4004222460 is an abundant number, since it is smaller than the sum of its proper divisors (8886242820).

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

4004222460 is a wasteful number, since it uses less digits than its factorization.

4004222460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57275 (or 57273 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4004222460 is about 63278.9258758396. The cubic root of 4004222460 is about 1587.9594169953.

Adding to 4004222460 its reverse (642224004), we get a palindrome (4646446464).

The spelling of 4004222460 in words is "four billion, four million, two hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 167 210 334 420 501 668 835 1002 1169 1670 2004 2338 2505 3340 3507 4676 5010 5845 7014 10020 11690 14028 17535 23380 35070 57089 70140 114178 171267 228356 285445 342534 399623 570890 685068 799246 856335 1141780 1198869 1598492 1712670 1998115 2397738 3425340 3996230 4795476 5994345 7992460 9533863 11988690 19067726 23977380 28601589 38135452 47669315 57203178 66737041 95338630 114406356 133474082 143007945 190677260 200211123 266948164 286015890 333685205 400422246 572031780 667370410 800844492 1001055615 1334740820 2002111230 4004222460