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1220012200 = 235211619091
BaseRepresentation
bin100100010110111…
…1110100010101000
310011000200001010001
41020231332202220
54444310342300
6321021032344
742142634611
oct11055764250
93130601101
101220012200
11576735250
122a06b56b4
131659b0314
14b805cc08
157219016a
hex48b7e8a8

1220012200 has 96 divisors (see below), whose sum is σ = 3145468320. Its totient is φ = 436320000.

The previous prime is 1220012197. The next prime is 1220012203. The reversal of 1220012200 is 22100221.

It is an interprime number because it is at equal distance from previous prime (1220012197) and next prime (1220012203).

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 (1220012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129655 + ... + 138745.

It is an arithmetic number, because the mean of its divisors is an integer number (32765295).

Almost surely, 21220012200 is an apocalyptic number.

1220012200 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 1220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572734160).

1220012200 is an abundant number, since it is smaller than the sum of its proper divisors (1925456120).

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

1220012200 is a wasteful number, since it uses less digits than its factorization.

1220012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179 (or 9170 counting only the distinct ones).

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

The square root of 1220012200 is about 34928.6730352013. The cubic root of 1220012200 is about 1068.5332919028.

Adding to 1220012200 its reverse (22100221), we get a palindrome (1242112421).

The spelling of 1220012200 in words is "one billion, two hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 1100 1220 1342 1525 2200 2440 2684 3050 3355 5368 6100 6710 9091 12200 13420 16775 18182 26840 33550 36364 45455 67100 72728 90910 100001 134200 181820 200002 227275 363640 400004 454550 500005 554551 800008 909100 1000010 1109102 1818200 2000020 2218204 2500025 2772755 4000040 4436408 5000050 5545510 6100061 10000100 11091020 12200122 13863775 20000200 22182040 24400244 27727550 30500305 48800488 55455100 61000610 110910200 122001220 152501525 244002440 305003050 610006100 1220012200