Search a number
-
+
12200221000 = 2353115092179
BaseRepresentation
bin10110101110011000…
…01001100101001000
31011111020212102221001
423113030021211020
5144441224033000
65334341024344
7611222111302
oct132714114510
934436772831
1012200221000
1151a0785680
1224459b50b4
1311c57985a6
1483a45a972
154b612046a
hex2d7309948

12200221000 has 128 divisors (see below), whose sum is σ = 31219344000. Its totient is φ = 4425696000.

The previous prime is 12200220979. The next prime is 12200221001. The reversal of 12200221000 is 12200221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12200221001) 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, 5597911 + ... + 5600089.

It is an arithmetic number, because the mean of its divisors is an integer number (243901125).

Almost surely, 212200221000 is an apocalyptic number.

12200221000 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 12200221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609672000).

12200221000 is an abundant number, since it is smaller than the sum of its proper divisors (19019123000).

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

12200221000 is a wasteful number, since it uses less digits than its factorization.

12200221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12200221000 its reverse (12200221), we get a palindrome (12212421221).

12200221000 divided by its reverse (12200221) gives a cube (1000 = 103).

The spelling of 12200221000 in words is "twelve billion, two hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 509 550 1000 1018 1100 1375 2036 2179 2200 2545 2750 4072 4358 5090 5500 5599 8716 10180 10895 11000 11198 12725 17432 20360 21790 22396 23969 25450 27995 43580 44792 47938 50900 54475 55990 63625 87160 95876 101800 108950 111980 119845 127250 139975 191752 217900 223960 239690 254500 272375 279950 435800 479380 509000 544750 559900 599225 699875 958760 1089500 1109111 1119800 1198450 1399750 2179000 2218222 2396900 2799500 2996125 4436444 4793800 5545555 5599000 5992250 8872888 11091110 11984500 12200221 22182220 23969000 24400442 27727775 44364440 48800884 55455550 61001105 97601768 110911100 122002210 138638875 221822200 244004420 277277750 305005525 488008840 554555500 610011050 1109111000 1220022100 1525027625 2440044200 3050055250 6100110500 12200221000