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1220412200 = 2352723151251
BaseRepresentation
bin100100010111110…
…0000001100101000
310011001102100210212
41020233200030220
54444411142300
6321033400252
742146222030
oct11057401450
93131370725
101220412200
11576988827
122a0869088
13165ac03c7
14b81248c0
157221d935
hex48be0328

1220412200 has 192 divisors, whose sum is σ = 3419781120. Its totient is φ = 396000000.

The previous prime is 1220412139. The next prime is 1220412203. The reversal of 1220412200 is 22140221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1220412203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4862075 + ... + 4862325.

It is an arithmetic number, because the mean of its divisors is an integer number (17811360).

Almost surely, 21220412200 is an apocalyptic number.

1220412200 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 1220412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

1220412200 is an abundant number, since it is smaller than the sum of its proper divisors (2199368920).

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

1220412200 is a wasteful number, since it uses less digits than its factorization.

1220412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1220412200 is about 34934.3985206558. The cubic root of 1220412200 is about 1068.6500575695.

Adding to 1220412200 its reverse (22140221), we get a palindrome (1242552421).

The spelling of 1220412200 in words is "one billion, two hundred twenty million, four hundred twelve thousand, two hundred".