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1220427000 = 233453131961
BaseRepresentation
bin100100010111110…
…0011110011111000
310011001110010010000
41020233203303320
54444412131000
6321033553000
742146313132
oct11057436370
93131403100
101220427000
11576998961
122a0875760
13165ac7070
14b812a052
1572223000
hex48be3cf8

1220427000 has 640 divisors, whose sum is σ = 4915310400. Its totient is φ = 279936000.

The previous prime is 1220426993. The next prime is 1220427011. The reversal of 1220427000 is 7240221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20006970 + ... + 20007030.

Almost surely, 21220427000 is an apocalyptic number.

1220427000 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 1220427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457655200).

1220427000 is an abundant number, since it is smaller than the sum of its proper divisors (3694883400).

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

1220427000 is a wasteful number, since it uses less digits than its factorization.

1220427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1220427000 is about 34934.6103456157. The cubic root of 1220427000 is about 1068.6543774097.

Adding to 1220427000 its reverse (7240221), we get a palindrome (1227667221).

It can be divided in two parts, 12204 and 27000, that added together give a square (39204 = 1982).

The spelling of 1220427000 in words is "one billion, two hundred twenty million, four hundred twenty-seven thousand".