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1220442032 = 242973137263
BaseRepresentation
bin100100010111110…
…0111011110110000
310011001110212201202
41020233213132300
54444413121112
6321034150332
742146405015
oct11057473660
93131425652
101220442032
115769a9187
122a08823a8
13165b00b64
14b813170c
15722276c2
hex48be77b0

1220442032 has 80 divisors (see below), whose sum is σ = 2507250240. Its totient is φ = 574672896.

The previous prime is 1220442017. The next prime is 1220442071. The reversal of 1220442032 is 2302440221.

It is a junction number, because it is equal to n+sod(n) for n = 1220441995 and 1220442013.

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, 4640333 + ... + 4640595.

It is an arithmetic number, because the mean of its divisors is an integer number (31340628).

Almost surely, 21220442032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253625120).

1220442032 is an abundant number, since it is smaller than the sum of its proper divisors (1286808208).

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

1220442032 is a wasteful number, since it uses less digits than its factorization.

1220442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1220442032 is about 34934.8254897602. The cubic root of 1220442032 is about 1068.6587649305.

Adding to 1220442032 its reverse (2302440221), we get a palindrome (3522882253).

The spelling of 1220442032 in words is "one billion, two hundred twenty million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 73 116 137 146 232 263 274 292 464 526 548 584 1052 1096 1168 2104 2117 2192 3973 4208 4234 7627 7946 8468 10001 15254 15892 16936 19199 20002 30508 31784 33872 36031 38398 40004 61016 63568 72062 76796 80008 122032 144124 153592 160016 288248 290029 307184 556771 576496 580058 1044899 1113542 1160116 2089798 2227084 2320232 2630263 4179596 4454168 4640464 5260526 8359192 8908336 10521052 16718384 21042104 42084208 76277627 152555254 305110508 610221016 1220442032