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36014220 = 22345114347
BaseRepresentation
bin1000100101100…
…0100010001100
32111202201020000
42021120202030
533204423340
63323524300
7615054504
oct211304214
974681200
1036014220
1119369020
1210089690
1375cc5b8
144ad6a04
153265d30
hex225888c

36014220 has 240 divisors, whose sum is σ = 128798208. Its totient is φ = 8346240.

The previous prime is 36014213. The next prime is 36014221. The reversal of 36014220 is 2241063.

36014220 = T175 + T176 + ... + T604.

It is a happy number.

36014220 is a `hidden beast` number, since 3 + 601 + 42 + 20 = 666.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 36014193 and 36014202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36014221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 766237 + ... + 766283.

Almost surely, 236014220 is an apocalyptic number.

36014220 is a gapful number since it is divisible by the number (30) 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 36014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64399104).

36014220 is an abundant number, since it is smaller than the sum of its proper divisors (92783988).

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

36014220 is a wasteful number, since it uses less digits than its factorization.

36014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36014220 is about 6001.1848830044. The cubic root of 36014220 is about 330.2361945419.

Adding to 36014220 its reverse (2241063), we get a palindrome (38255283).

The spelling of 36014220 in words is "thirty-six million, fourteen thousand, two hundred twenty".