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1221002200 = 2352114312907
BaseRepresentation
bin100100011000111…
…0000001111011000
310011002112100010201
41020301300033120
510000034032300
6321054151544
742154230115
oct11061601730
93132470121
101221002200
11577251030
122a0ab25b4
13165c68b12
14b823990c
15722d866a
hex48c703d8

1221002200 has 96 divisors (see below), whose sum is σ = 3169172160. Its totient is φ = 433641600.

The previous prime is 1221002197. The next prime is 1221002201. The reversal of 1221002200 is 22001221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221002201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88147 + ... + 101053.

It is an arithmetic number, because the mean of its divisors is an integer number (33012210).

Almost surely, 21221002200 is an apocalyptic number.

1221002200 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 1221002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584586080).

1221002200 is an abundant number, since it is smaller than the sum of its proper divisors (1948169960).

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

1221002200 is a wasteful number, since it uses less digits than its factorization.

1221002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12977 (or 12968 counting only the distinct ones).

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

The square root of 1221002200 is about 34942.8418993075. The cubic root of 1221002200 is about 1068.8222403662.

Adding to 1221002200 its reverse (22001221), we get a palindrome (1243003421).

The spelling of 1221002200 in words is "one billion, two hundred twenty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 12907 18920 23650 25814 47300 51628 64535 94600 103256 129070 141977 258140 283954 322675 516280 555001 567908 645350 709885 1110002 1135816 1290700 1419770 2220004 2581400 2775005 2839540 3549425 4440008 5550010 5679080 6105011 7098850 11100020 12210022 13875025 14197700 22200040 24420044 27750050 28395400 30525055 48840088 55500100 61050110 111000200 122100220 152625275 244200440 305250550 610501100 1221002200