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6122232990 = 2335531732473
BaseRepresentation
bin1011011001110100…
…11101110010011110
3120210200001122211000
411230322131302132
5100014242423430
62451300411130
7304500056526
oct55472356236
916720048730
106122232990
112661928295
12122a3a6aa6
137674c5193
1442114a686
1525c72ee60
hex16ce9dc9e

6122232990 has 128 divisors (see below), whose sum is σ = 16736906880. Its totient is φ = 1591888896.

The previous prime is 6122232931. The next prime is 6122233003. The reversal of 6122232990 is 992322216.

6122232990 is a `hidden beast` number, since 612 + 2 + 2 + 32 + 9 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2474394 + ... + 2476866.

It is an arithmetic number, because the mean of its divisors is an integer number (130757085).

Almost surely, 26122232990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6122232990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368453440).

6122232990 is an abundant number, since it is smaller than the sum of its proper divisors (10614673890).

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

6122232990 is a wasteful number, since it uses less digits than its factorization.

6122232990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6122232990 is about 78244.6994370865. The cubic root of 6122232990 is about 1829.3772941787.

The spelling of 6122232990 in words is "six billion, one hundred twenty-two million, two hundred thirty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 173 265 270 318 346 477 519 530 795 865 954 1038 1431 1557 1590 1730 2385 2473 2595 2862 3114 4671 4770 4946 5190 7155 7419 7785 9169 9342 12365 14310 14838 15570 18338 22257 23355 24730 27507 37095 44514 45845 46710 55014 66771 74190 82521 91690 111285 131069 133542 137535 165042 222570 247563 262138 275070 333855 393207 412605 427829 495126 655345 667710 786414 825210 855658 1179621 1237815 1283487 1310690 1966035 2139145 2359242 2475630 2566974 3538863 3850461 3932070 4278290 5898105 6417435 7077726 7700922 11551383 11796210 12834870 17694315 19252305 22674937 23102766 35388630 38504610 45349874 57756915 68024811 113374685 115513830 136049622 204074433 226749370 340124055 408148866 612223299 680248110 1020372165 1224446598 2040744330 3061116495 6122232990