Search a number
-
+
22143401344 = 271983163673
BaseRepresentation
bin10100100111110110…
…010111110110000000
32010011012201100010201
4110213312113312000
5330322202320334
614101133534544
71412506543261
oct244766276600
963135640121
1022143401344
119433411199
12435b944454
13211b78055c
141100c2c968
15899007c14
hex527d97d80

22143401344 has 128 divisors (see below), whose sum is σ = 47353622400. Its totient is φ = 10283728896.

The previous prime is 22143401341. The next prime is 22143401347. The reversal of 22143401344 is 44310434122.

It is an interprime number because it is at equal distance from previous prime (22143401341) and next prime (22143401347).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×221434013442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143401341) 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, 32902192 + ... + 32902864.

It is an arithmetic number, because the mean of its divisors is an integer number (369950175).

Almost surely, 222143401344 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 22143401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23676811200).

22143401344 is an abundant number, since it is smaller than the sum of its proper divisors (25210221056).

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

22143401344 is a wasteful number, since it uses less digits than its factorization.

22143401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22143401344 its reverse (44310434122), we get a palindrome (66453835466).

The spelling of 22143401344 in words is "twenty-two billion, one hundred forty-three million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 163 166 304 326 332 608 652 664 673 1216 1304 1328 1346 1577 2432 2608 2656 2692 3097 3154 5216 5312 5384 6194 6308 10432 10624 10768 12388 12616 12787 13529 20864 21536 24776 25232 25574 27058 43072 49552 50464 51148 54116 55859 86144 99104 100928 102296 108232 109699 111718 198208 201856 204592 216464 219398 223436 257051 396416 409184 432928 438796 446872 514102 818368 865856 877592 893744 1028204 1061321 1636736 1731712 1755184 1787488 2056408 2084281 2122642 3510368 3574976 4112816 4168562 4245284 7020736 7149952 8225632 8337124 8490568 9105017 14041472 16451264 16674248 16981136 18210034 32902528 33348496 33962272 36420068 66696992 67924544 72840136 133393984 135849088 145680272 172995323 266787968 291360544 345990646 582721088 691981292 1165442176 1383962584 2767925168 5535850336 11071700672 22143401344