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1220000232 = 2331116328351
BaseRepresentation
bin100100010110111…
…1011100111101000
310011000122102200210
41020231323213220
54444310001412
6321020501120
742142554663
oct11055734750
93130572623
101220000232
11576727260
122a06aa7a0
131659a7a39
14b80586da
157218b83c
hex48b7b9e8

1220000232 has 64 divisors (see below), whose sum is σ = 3347804160. Its totient is φ = 367416000.

The previous prime is 1220000231. The next prime is 1220000233. The reversal of 1220000232 is 2320000221.

It is an interprime number because it is at equal distance from previous prime (1220000231) and next prime (1220000233).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1220000231) 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 15 ways as a sum of consecutive naturals, for example, 28857 + ... + 57207.

It is an arithmetic number, because the mean of its divisors is an integer number (52309440).

Almost surely, 21220000232 is an apocalyptic number.

1220000232 is a gapful number since it is divisible by the number (12) 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 1220000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673902080).

1220000232 is an abundant number, since it is smaller than the sum of its proper divisors (2127803928).

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

1220000232 is a wasteful number, since it uses less digits than its factorization.

1220000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28534 (or 28530 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1220000232 is about 34928.5017142161. The cubic root of 1220000232 is about 1068.5297978808.

Adding to 1220000232 its reverse (2320000221), we get a palindrome (3540000453).

The spelling of 1220000232 in words is "one billion, two hundred twenty million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 163 264 326 489 652 978 1304 1793 1956 3586 3912 5379 7172 10758 14344 21516 28351 43032 56702 85053 113404 170106 226808 311861 340212 623722 680424 935583 1247444 1871166 2494888 3742332 4621213 7484664 9242426 13863639 18484852 27727278 36969704 50833343 55454556 101666686 110909112 152500029 203333372 305000058 406666744 610000116 1220000232