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22343378688 = 28336748247
BaseRepresentation
bin10100110011110001…
…001110011100000000
32010200011000020111000
4110303301032130000
5331224401104223
614133040052000
71420455404511
oct246361163400
963604006430
1022343378688
119526289124
1243b6904000
13215102a447
14111d606a08
158ab85a543
hex533c4e700

22343378688 has 144 divisors (see below), whose sum is σ = 67060860160. Its totient is φ = 7336479744.

The previous prime is 22343378683. The next prime is 22343378693. The reversal of 22343378688 is 88687334322.

22343378688 is a `hidden beast` number, since 223 + 4 + 337 + 8 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (22343378683) and next prime (22343378693).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22343378683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438981 + ... + 487227.

Almost surely, 222343378688 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 22343378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530430080).

22343378688 is an abundant number, since it is smaller than the sum of its proper divisors (44717481472).

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

22343378688 is an equidigital number, since it uses as much as digits as its factorization.

22343378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48339 (or 48319 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 22343378688 in words is "twenty-two billion, three hundred forty-three million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 256 268 288 384 402 432 536 576 603 768 804 864 1072 1152 1206 1608 1728 1809 2144 2304 2412 3216 3456 3618 4288 4824 6432 6912 7236 8576 9648 12864 14472 17152 19296 25728 28944 38592 48247 51456 57888 77184 96494 115776 144741 154368 192988 231552 289482 385976 434223 463104 578964 771952 868446 1157928 1302669 1543904 1736892 2315856 2605338 3087808 3232549 3473784 4631712 5210676 6175616 6465098 6947568 9263424 9697647 10421352 12351232 12930196 13895136 18526848 19395294 20842704 25860392 27790272 29092941 37053696 38790588 41685408 51720784 55580544 58185882 77581176 83370816 87278823 103441568 111161088 116371764 155162352 166741632 174557646 206883136 232743528 310324704 333483264 349115292 413766272 465487056 620649408 698230584 827532544 930974112 1241298816 1396461168 1861948224 2482597632 2792922336 3723896448 5585844672 7447792896 11171689344 22343378688