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2123223432 = 2331117473089
BaseRepresentation
bin111111010001101…
…1101000110001000
312110222012220222220
41332203131012020
513322021122212
6550404014040
7103421046531
oct17643350610
95428186886
102123223432
1199a560210
124b3091320
1327ab5c535
14161db3688
15c660338c
hex7e8dd188

2123223432 has 64 divisors (see below), whose sum is σ = 6131246400. Its totient is φ = 605552640.

The previous prime is 2123223413. The next prime is 2123223433. The reversal of 2123223432 is 2343223212.

2123223432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2123223433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232057 + ... + 241032.

It is an arithmetic number, because the mean of its divisors is an integer number (95800725).

Almost surely, 22123223432 is an apocalyptic number.

2123223432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2123223432 is an abundant number, since it is smaller than the sum of its proper divisors (4008022968).

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

2123223432 is a wasteful number, since it uses less digits than its factorization.

2123223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473126 (or 473122 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 2123223432 is about 46078.4486718032. The cubic root of 2123223432 is about 1285.2824164900.

Adding to 2123223432 its reverse (2343223212), we get a palindrome (4466446644).

The spelling of 2123223432 in words is "two billion, one hundred twenty-three million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 473089 946178 1419267 1892356 2838534 3784712 5203979 5677068 8042513 10407958 11354136 15611937 16085026 20815916 24127539 31223874 32170052 41631832 48255078 62447748 64340104 88467643 96510156 124895496 176935286 193020312 265402929 353870572 530805858 707741144 1061611716 2123223432