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2023223124 = 223131372691
BaseRepresentation
bin111100010010111…
…1110111101010100
312020000001101100210
41320211332331110
513120421114444
6532432405420
7101065053456
oct17045767524
95200041323
102023223124
1194906952a
124856a6870
13263218860
141529c22d6
15bc94d7b9
hex7897ef54

2023223124 has 72 divisors (see below), whose sum is σ = 5128788448. Its totient is φ = 617091840.

The previous prime is 2023223123. The next prime is 2023223177. The reversal of 2023223124 is 4213223202.

It is a self number, because there is not a number n which added to its sum of digits gives 2023223124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2927619 + ... + 2928309.

Almost surely, 22023223124 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 2023223124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564394224).

2023223124 is an abundant number, since it is smaller than the sum of its proper divisors (3105565324).

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

2023223124 is a wasteful number, since it uses less digits than its factorization.

2023223124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2023223124 is about 44980.2526004468. The cubic root of 2023223124 is about 1264.7788463917.

Adding to 2023223124 its reverse (4213223202), we get a palindrome (6236446326).

The spelling of 2023223124 in words is "two billion, twenty-three million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 691 822 1382 1644 1781 2073 2764 3562 4146 5343 7124 8292 8983 10686 17966 18769 21372 26949 35932 37538 53898 56307 75076 94667 107796 112614 189334 225228 243997 284001 378668 487994 568002 731991 975988 1136004 1230671 1463982 2461342 2927964 3692013 4922684 7384026 12969379 14768052 25938758 38908137 51877516 77816274 155632548 168601927 337203854 505805781 674407708 1011611562 2023223124