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226662334002 = 232138320635657
BaseRepresentation
bin1101001100011000100…
…0001011111000110010
3210200001111011120212100
43103012020023320302
512203201024142002
6252043252241230
722242622023126
oct3230610137062
9720044146770
10226662334002
1188143a84385
1237b18910216
13184b3074880
14ad83147586
155d6905a11c
hex34c620be32

226662334002 has 96 divisors (see below), whose sum is σ = 535604928768. Its totient is φ = 68856415488.

The previous prime is 226662333991. The next prime is 226662334027. The reversal of 226662334002 is 200433266622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40064758 + ... + 40070414.

It is an arithmetic number, because the mean of its divisors is an integer number (5579218008).

Almost surely, 2226662334002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226662334002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267802464384).

226662334002 is an abundant number, since it is smaller than the sum of its proper divisors (308942594766).

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

226662334002 is a wasteful number, since it uses less digits than its factorization.

226662334002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 226662334002 in words is "two hundred twenty-six billion, six hundred sixty-two million, three hundred thirty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 234 249 498 747 1079 1494 2063 2158 3237 4126 5657 6189 6474 9711 11314 12378 16971 18567 19422 26819 33942 37134 50913 53638 73541 80457 101826 147082 160914 171229 220623 241371 342458 441246 469531 482742 513687 661869 939062 1027374 1323738 1408593 1541061 2225977 2817186 3082122 4225779 4451954 6103903 6677931 8451558 11670391 12207806 13355862 18311709 20033793 23340782 35011173 36623418 40067586 54935127 70022346 105033519 109870254 151715083 210067038 303430166 455145249 910290498 968642453 1365435747 1937284906 2730871494 2905927359 5811854718 8717782077 12592351889 17435564154 25184703778 37777055667 75554111334 113331167001 226662334002