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1214224220 = 2251115136551
BaseRepresentation
bin100100001011111…
…1001011101011100
310010121202222111102
41020113321131130
54441320133340
6320253012232
742042510206
oct11027713534
93117688442
101214224220
115734416a0
1229a784078
13164734991
14b7393776
15718ea215
hex485f975c

1214224220 has 48 divisors (see below), whose sum is σ = 2800175616. Its totient is φ = 438600000.

The previous prime is 1214224177. The next prime is 1214224247. The reversal of 1214224220 is 224224121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1214224192 and 1214224201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14945 + ... + 51495.

It is an arithmetic number, because the mean of its divisors is an integer number (58336992).

Almost surely, 21214224220 is an apocalyptic number.

1214224220 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 1214224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400087808).

1214224220 is an abundant number, since it is smaller than the sum of its proper divisors (1585951396).

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

1214224220 is a wasteful number, since it uses less digits than its factorization.

1214224220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36722 (or 36720 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1214224220 is about 34845.7202537127. The cubic root of 1214224220 is about 1066.8408346241.

Adding to 1214224220 its reverse (224224121), we get a palindrome (1438448341).

Subtracting from 1214224220 its reverse (224224121), we obtain a palindrome (990000099).

The spelling of 1214224220 in words is "one billion, two hundred fourteen million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 33220 36551 73102 146204 182755 365510 402061 731020 804122 1608244 2010305 4020610 5519201 8041220 11038402 22076804 27596005 55192010 60711211 110384020 121422422 242844844 303556055 607112110 1214224220