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2023442224032 = 25389564141983
BaseRepresentation
bin11101011100011110100…
…011100001001110100000
321011102212011112012212210
4131130132203201032200
5231123002202132112
64145320113122120
7266121533056365
oct35343643411640
97142764465783
102023442224032
11710156425759
122881a6859340
13118a6b129a58
146dd13db446c
153797b041b3c
hex1d71e8e13a0

2023442224032 has 96 divisors (see below), whose sum is σ = 5372296151040. Its totient is φ = 666768199680.

The previous prime is 2023442224019. The next prime is 2023442224093. The reversal of 2023442224032 is 2304222443202.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48175713 + ... + 48217695.

It is an arithmetic number, because the mean of its divisors is an integer number (55961418240).

Almost surely, 22023442224032 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 2023442224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686148075520).

2023442224032 is an abundant number, since it is smaller than the sum of its proper divisors (3348853927008).

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

2023442224032 is a wasteful number, since it uses less digits than its factorization.

2023442224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47726 (or 47718 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2023442224032 its reverse (2304222443202), we get a palindrome (4327664667234).

The spelling of 2023442224032 in words is "two trillion, twenty-three billion, four hundred forty-two million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 5641 8544 11282 16923 22564 33846 41983 45128 67692 83966 90256 125949 135384 167932 180512 251898 270768 335864 502049 503796 541536 671728 1004098 1007592 1343456 1506147 2008196 2015184 3012294 3736487 4016392 4030368 6024588 7472974 8032784 11209461 12049176 14945948 16065568 22418922 24098352 29891896 44837844 48196704 59783792 89675688 119567584 179351376 236826103 358702752 473652206 710478309 947304412 1420956618 1894608824 2841913236 3789217648 5683826472 7578435296 11367652944 21077523167 22735305888 42155046334 63232569501 84310092668 126465139002 168620185336 252930278004 337240370672 505860556008 674480741344 1011721112016 2023442224032