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22132022120 = 23513376311823
BaseRepresentation
bin10100100111001010…
…111101101101101000
32010010102022012202222
4110213022331231220
5330311244201440
614100050013212
71412311040555
oct244712755550
963112265688
1022132022120
119427a4987a
124357b77208
1321192c7ca0
1410dd509a2c
1589800b2b5
hex5272bdb68

22132022120 has 128 divisors (see below), whose sum is σ = 55194531840. Its totient is φ = 7934008320.

The previous prime is 22132022071. The next prime is 22132022147. The reversal of 22132022120 is 2122023122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12139529 + ... + 12141351.

It is an arithmetic number, because the mean of its divisors is an integer number (431207280).

Almost surely, 222132022120 is an apocalyptic number.

22132022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597265920).

22132022120 is an abundant number, since it is smaller than the sum of its proper divisors (33062509720).

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

22132022120 is a wasteful number, since it uses less digits than its factorization.

22132022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22132022120 its reverse (2122023122), we get a palindrome (24254045242).

The spelling of 22132022120 in words is "twenty-two billion, one hundred thirty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 631 740 962 1262 1480 1823 1924 2405 2524 3155 3646 3848 4810 5048 6310 7292 8203 9115 9620 12620 14584 16406 18230 19240 23347 23699 25240 32812 36460 41015 46694 47398 65624 67451 72920 82030 93388 94796 116735 118495 134902 164060 186776 189592 233470 236990 269804 303511 328120 337255 466940 473980 539608 607022 674510 876863 933880 947960 1150313 1214044 1349020 1517555 1753726 2300626 2428088 2698040 3035110 3507452 4384315 4601252 5751565 6070220 7014904 8768630 9202504 11503130 12140440 14954069 17537260 23006260 29908138 35074520 42561581 46012520 59816276 74770345 85123162 119632552 149540690 170246324 212807905 299081380 340492648 425615810 553300553 598162760 851231620 1106601106 1702463240 2213202212 2766502765 4426404424 5533005530 11066011060 22132022120