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1220214321 = 33175934483
BaseRepresentation
bin100100010111010…
…1111111000110001
310011001001022101000
41020232233320301
54444333324241
6321025232213
742144436104
oct11056577061
93131038330
101220214321
11576863097
122a0792669
13165a51311
14b80b273b
15721ceeb6
hex48bafe31

1220214321 has 32 divisors (see below), whose sum is σ = 1917717120. Its totient is φ = 764163072.

The previous prime is 1220214319. The next prime is 1220214337. The reversal of 1220214321 is 1234120221.

It is a happy number.

It is not a de Polignac number, because 1220214321 - 21 = 1220214319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220214294 and 1220214303.

It is not an unprimeable number, because it can be changed into a prime (1220214301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 269946 + ... + 274428.

It is an arithmetic number, because the mean of its divisors is an integer number (59928660).

Almost surely, 21220214321 is an apocalyptic number.

It is an amenable number.

1220214321 is a deficient number, since it is larger than the sum of its proper divisors (697502799).

1220214321 is a wasteful number, since it uses less digits than its factorization.

1220214321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5096 counting only the distinct ones).

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

The square root of 1220214321 is about 34931.5662546070. The cubic root of 1220214321 is about 1068.5922970755.

Adding to 1220214321 its reverse (1234120221), we get a palindrome (2454334542).

The spelling of 1220214321 in words is "one billion, two hundred twenty million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 17 27 51 153 459 593 1779 4483 5337 10081 13449 16011 30243 40347 76211 90729 121041 228633 272187 685899 2057697 2658419 7975257 23925771 45193123 71777313 135579369 406738107 1220214321