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22662046680 = 23357132075279
BaseRepresentation
bin10101000110110000…
…110110001111011000
32011111100122020210020
4111012300312033120
5332402440443210
614224422150440
71431405134640
oct250660661730
964440566706
1022662046680
11967a1530a9
124485582420
1321a20632a0
14114da79520
158c9805770
hex546c363d8

22662046680 has 128 divisors (see below), whose sum is σ = 83675289600. Its totient is φ = 4781440512.

The previous prime is 22662046661. The next prime is 22662046691. The reversal of 22662046680 is 8664026622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1026720 + ... + 1048559.

It is an arithmetic number, because the mean of its divisors is an integer number (653713200).

Almost surely, 222662046680 is an apocalyptic number.

22662046680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22662046680 is an abundant number, since it is smaller than the sum of its proper divisors (61013242920).

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

22662046680 is a wasteful number, since it uses less digits than its factorization.

22662046680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075313 (or 2075309 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 22662046680 in words is "twenty-two billion, six hundred sixty-two million, forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 2075279 4150558 6225837 8301116 10376395 12451674 14526953 16602232 20752790 24903348 26978627 29053906 31129185 41505580 43580859 49806696 53957254 58107812 62258370 72634765 80935881 83011160 87161718 107914508 116215624 124516740 134893135 145269530 161871762 174323436 188850389 215829016 217904295 249033480 269786270 290539060 323743524 348646872 377700778 404679405 435808590 539572540 566551167 581078120 647487048 755401556 809358810 871617180 944251945 1079145080 1133102334 1510803112 1618717620 1743234360 1888503890 2266204668 2832755835 3237435240 3777007780 4532409336 5665511670 7554015560 11331023340 22662046680