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214530300360 = 233351924211307
BaseRepresentation
bin1100011111001100000…
…0001001100111001000
3202111201222121102102000
43013303000021213020
512003324224102420
6242315344511000
721333155315505
oct3076300114710
9674658542360
10214530300360
1182a888419a2
12356b191b460
13172cb761a3c
14a551b9a4ac
1558a8e08690
hex31f30099c8

214530300360 has 384 divisors, whose sum is σ = 757090281600. Its totient is φ = 54027025920.

The previous prime is 214530300331. The next prime is 214530300367. The reversal of 214530300360 is 63003035412.

It is a happy number.

It is a super-2 number, since 2×2145303003602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214530300367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164138827 + ... + 164140133.

It is an arithmetic number, because the mean of its divisors is an integer number (1971589275).

Almost surely, 2214530300360 is an apocalyptic number.

214530300360 is a gapful number since it is divisible by the number (20) 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 214530300360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378545140800).

214530300360 is an abundant number, since it is smaller than the sum of its proper divisors (542559981240).

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

214530300360 is a wasteful number, since it uses less digits than its factorization.

214530300360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 214530300360 its reverse (63003035412), we get a palindrome (277533335772).

The spelling of 214530300360 in words is "two hundred fourteen billion, five hundred thirty million, three hundred thousand, three hundred sixty".