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2422234144 = 251122359461
BaseRepresentation
bin1001000001100000…
…0101110000100000
320020210212020120201
42100120011300200
514430042443034
61040204514544
7114011436061
oct22030056040
96223766521
102422234144
111033319400
1257724ba54
132c7aa1c55
1418d9aa568
15e29b9014
hex90605c20

2422234144 has 144 divisors (see below), whose sum is σ = 5574381120. Its totient is φ = 1033049600.

The previous prime is 2422234123. The next prime is 2422234153. The reversal of 2422234144 is 4414322242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5254074 + ... + 5254534.

It is an arithmetic number, because the mean of its divisors is an integer number (38710980).

Almost surely, 22422234144 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 2422234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787190560).

2422234144 is an abundant number, since it is smaller than the sum of its proper divisors (3152146976).

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

2422234144 is a wasteful number, since it uses less digits than its factorization.

2422234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 556 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 2422234144 is about 49216.1979839971. The cubic root of 2422234144 is about 1342.9877168252.

Adding to 2422234144 its reverse (4414322242), we get a palindrome (6836556386).

The spelling of 2422234144 in words is "two billion, four hundred twenty-two million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 59 88 92 118 121 176 184 236 242 253 352 368 461 472 484 506 649 736 922 944 968 1012 1298 1357 1844 1888 1936 2024 2596 2714 2783 3688 3872 4048 5071 5192 5428 5566 7139 7376 8096 10142 10384 10603 10856 11132 14278 14752 14927 20284 20768 21206 21712 22264 27199 28556 29854 40568 42412 43424 44528 54398 55781 57112 59708 81136 84824 89056 108796 111562 114224 116633 119416 162272 164197 169648 217592 223124 228448 233266 238832 299189 328394 339296 435184 446248 466532 477664 598378 625577 656788 870368 892496 933064 1196756 1251154 1282963 1313576 1784992 1866128 2393512 2502308 2565926 2627152 3291079 3732256 4787024 5004616 5131852 5254304 6582158 6881347 9574048 10009232 10263704 13164316 13762694 20018464 20527408 26328632 27525388 41054816 52657264 55050776 75694817 105314528 110101552 151389634 220203104 302779268 605558536 1211117072 2422234144