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132220002000 = 2435389247603
BaseRepresentation
bin111101100100011101…
…1010001111011010000
3110122021122021000212010
41323020323101323100
54131241310031000
6140424021302520
712360351321252
oct1731073217320
9418248230763
10132220002000
115108a820529
1221760264a40
13c611aba498
146584271cd2
15368cbd1d50
hex1ec8ed1ed0

132220002000 has 160 divisors (see below), whose sum is σ = 431068659840. Its totient is φ = 34862361600.

The previous prime is 132220001993. The next prime is 132220002001. The reversal of 132220002000 is 200022231.

132220002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410199 + ... + 657801.

It is an arithmetic number, because the mean of its divisors is an integer number (2694179124).

Almost surely, 2132220002000 is an apocalyptic number.

132220002000 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 132220002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215534329920).

132220002000 is an abundant number, since it is smaller than the sum of its proper divisors (298848657840).

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

132220002000 is a wasteful number, since it uses less digits than its factorization.

132220002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247718 (or 247702 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 132220002000 its reverse (200022231), we get a palindrome (132420024231).

The spelling of 132220002000 in words is "one hundred thirty-two billion, two hundred twenty million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 125 150 178 200 240 250 267 300 356 375 400 445 500 534 600 712 750 890 1000 1068 1200 1335 1424 1500 1780 2000 2136 2225 2670 3000 3560 4272 4450 5340 6000 6675 7120 8900 10680 11125 13350 17800 21360 22250 26700 33375 35600 44500 53400 66750 89000 106800 133500 178000 247603 267000 495206 534000 742809 990412 1238015 1485618 1980824 2476030 2971236 3714045 3961648 4952060 5942472 6190075 7428090 9904120 11884944 12380150 14856180 18570225 19808240 22036667 24760300 29712360 30950375 37140450 44073334 49520600 59424720 61900750 66110001 74280900 88146668 92851125 99041200 110183335 123801500 132220002 148561800 176293336 185702250 220366670 247603000 264440004 297123600 330550005 352586672 371404500 440733340 495206000 528880008 550916675 661100010 742809000 881466680 1057760016 1101833350 1322200020 1485618000 1652750025 1762933360 2203666700 2644400040 2754583375 3305500050 4407333400 5288800080 5509166750 6611000100 8263750125 8814666800 11018333500 13222000200 16527500250 22036667000 26444000400 33055000500 44073334000 66110001000 132220002000