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132220222020 = 22355173157259
BaseRepresentation
bin111101100100011110…
…0000111101001000100
3110122021122200012200000
41323020330013221010
54131241334101040
6140424030121300
712360353225565
oct1731074075104
9418248605600
10132220222020
115108a960867
1221760350230
13c611b66683
1465842cc16c
15368cc27130
hex1ec8f07a44

132220222020 has 144 divisors (see below), whose sum is σ = 418329213120. Its totient is φ = 35054695296.

The previous prime is 132220221997. The next prime is 132220222031. The reversal of 132220222020 is 20222022231.

It is a super-2 number, since 2×1322202220202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132220221984 and 132220222002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762151 + ... + 919409.

It is an arithmetic number, because the mean of its divisors is an integer number (2905063980).

Almost surely, 2132220222020 is an apocalyptic number.

132220222020 is a gapful number since it is divisible by the number (10) 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 132220222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209164606560).

132220222020 is an abundant number, since it is smaller than the sum of its proper divisors (286108991100).

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

132220222020 is a wasteful number, since it uses less digits than its factorization.

132220222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157456 (or 157442 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 132220222020 its reverse (20222022231), we get a palindrome (152442244251).

The spelling of 132220222020 in words is "one hundred thirty-two billion, two hundred twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 173 180 243 270 324 346 405 486 519 540 692 810 865 972 1038 1215 1557 1620 1730 2076 2430 2595 3114 3460 4671 4860 5190 6228 7785 9342 10380 14013 15570 18684 23355 28026 31140 42039 46710 56052 70065 84078 93420 140130 157259 168156 210195 280260 314518 420390 471777 629036 786295 840780 943554 1415331 1572590 1887108 2358885 2830662 3145180 4245993 4717770 5661324 7076655 8491986 9435540 12737979 14153310 16983972 21229965 25475958 27205807 28306620 38213937 42459930 50951916 54411614 63689895 76427874 81617421 84919860 108823228 127379790 136029035 152855748 163234842 191069685 244852263 254759580 272058070 326469684 382139370 408087105 489704526 544116140 734556789 764278740 816174210 979409052 1224261315 1469113578 1632348420 2203670367 2448522630 2938227156 3672783945 4407340734 4897045260 6611011101 7345567890 8814681468 11018351835 13222022202 14691135780 22036703670 26444044404 33055055505 44073407340 66110111010 132220222020