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1214440020 = 2233523277353
BaseRepresentation
bin100100001100010…
…1110001001010100
310010122011221112000
41020120232021110
54441344040040
6320301355300
742044366313
oct11030561124
93118157460
101214440020
11573579842
1229a868b30
131647abc81
14b740c27a
157193e130
hex4862e254

1214440020 has 192 divisors, whose sum is σ = 3967971840. Its totient is φ = 307777536.

The previous prime is 1214439991. The next prime is 1214440069. The reversal of 1214440020 is 200444121.

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

It is a junction number, because it is equal to n+sod(n) for n = 1214439975 and 1214440002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3440164 + ... + 3440516.

It is an arithmetic number, because the mean of its divisors is an integer number (20666520).

Almost surely, 21214440020 is an apocalyptic number.

1214440020 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 1214440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983985920).

1214440020 is an abundant number, since it is smaller than the sum of its proper divisors (2753531820).

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

1214440020 is a wasteful number, since it uses less digits than its factorization.

1214440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1214440020 is about 34848.8166226631. The cubic root of 1214440020 is about 1066.9040328953.

Adding to 1214440020 its reverse (200444121), we get a palindrome (1414884141).

The spelling of 1214440020 in words is "one billion, two hundred fourteen million, four hundred forty thousand, twenty".