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2422144512 = 2933832111
BaseRepresentation
bin1001000001011110…
…1111111000000000
320020210200200122000
42100113233320000
514430032111022
61040202544000
7114010613544
oct22027577000
96223620560
102422144512
111033268027
12577208000
132c7a70208
1418d985a24
15e299c6ac
hex905efe00

2422144512 has 160 divisors (see below), whose sum is σ = 7259535360. Its totient is φ = 797276160.

The previous prime is 2422144511. The next prime is 2422144561. The reversal of 2422144512 is 2154412242.

It is a happy number.

2422144512 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 144 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422144511) 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, 1146337 + ... + 1148447.

It is an arithmetic number, because the mean of its divisors is an integer number (45372096).

Almost surely, 22422144512 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 2422144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629767680).

2422144512 is an abundant number, since it is smaller than the sum of its proper divisors (4837390848).

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

2422144512 is an equidigital number, since it uses as much as digits as its factorization.

2422144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2199 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2422144512 is about 49215.2873810567. The cubic root of 2422144512 is about 1342.9711513801.

Adding to 2422144512 its reverse (2154412242), we get a palindrome (4576556754).

The spelling of 2422144512 in words is "two billion, four hundred twenty-two million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 256 288 332 384 432 498 512 576 664 747 768 864 996 1152 1328 1494 1536 1728 1992 2111 2241 2304 2656 2988 3456 3984 4222 4482 4608 5312 5976 6333 6912 7968 8444 8964 10624 11952 12666 13824 15936 16888 17928 18999 21248 23904 25332 31872 33776 35856 37998 42496 47808 50664 56997 63744 67552 71712 75996 95616 101328 113994 127488 135104 143424 151992 175213 191232 202656 227988 270208 286848 303984 350426 382464 405312 455976 525639 540416 573696 607968 700852 810624 911952 1051278 1080832 1147392 1215936 1401704 1576917 1621248 1823904 2102556 2431872 2803408 3153834 3242496 3647808 4205112 4730751 4863744 5606816 6307668 7295616 8410224 9461502 9727488 11213632 12615336 14591232 16820448 18923004 22427264 25230672 29182464 33640896 37846008 44854528 50461344 67281792 75692016 89709056 100922688 134563584 151384032 201845376 269127168 302768064 403690752 605536128 807381504 1211072256 2422144512