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1214431020 = 2232511337137
BaseRepresentation
bin100100001100010…
…1011111100101100
310010122011111011200
41020120223330230
54441343243040
6320301245500
742044331135
oct11030537454
93118144150
101214431020
11573573000
1229a863890
131647a7b4a
14b7408c8c
157193b630
hex4862bf2c

1214431020 has 288 divisors, whose sum is σ = 4191759936. Its totient is φ = 284359680.

The previous prime is 1214431019. The next prime is 1214431033. The reversal of 1214431020 is 201344121.

1214431020 is a `hidden beast` number, since 1 + 214 + 431 + 0 + 20 = 666.

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 = 1214430984 and 1214431002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8864392 + ... + 8864528.

It is an arithmetic number, because the mean of its divisors is an integer number (14554722).

Almost surely, 21214431020 is an apocalyptic number.

1214431020 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 1214431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095879968).

1214431020 is an abundant number, since it is smaller than the sum of its proper divisors (2977328916).

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

1214431020 is a wasteful number, since it uses less digits than its factorization.

1214431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1214431020 is about 34848.6874932184. The cubic root of 1214431020 is about 1066.9013973431.

Adding to 1214431020 its reverse (201344121), we get a palindrome (1415775141).

It can be divided in two parts, 1214 and 431020, that added together give a palindrome (432234).

The spelling of 1214431020 in words is "one billion, two hundred fourteen million, four hundred thirty-one thousand, twenty".