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1214300160 = 21435561
BaseRepresentation
bin100100001100000…
…1100000000000000
310010121220211200000
41020120030000000
54441330101120
6320254400000
742043244463
oct11030140000
93117824600
101214300160
11573493757
1229a800000
13164760408
14b73b32da
1571912990
hex4860c000

1214300160 has 360 divisors, whose sum is σ = 4436913936. Its totient is φ = 318504960.

The previous prime is 1214300159. The next prime is 1214300167. The reversal of 1214300160 is 610034121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214300167) 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, 19906530 + ... + 19906590.

Almost surely, 21214300160 is an apocalyptic number.

1214300160 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 1214300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218456968).

1214300160 is an abundant number, since it is smaller than the sum of its proper divisors (3222613776).

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

1214300160 is an frugal number, since it uses more digits than its factorization.

1214300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1214300160 is about 34846.8098970336. The cubic root of 1214300160 is about 1066.8630749437.

Adding to 1214300160 its reverse (610034121), we get a palindrome (1824334281).

The spelling of 1214300160 in words is "one billion, two hundred fourteen million, three hundred thousand, one hundred sixty".