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22200201144 = 23331182311353
BaseRepresentation
bin10100101011001111…
…000010111110111000
32010022011121001211000
4110223033002332320
5330431222414034
614110523205000
71414066411332
oct245317027670
963264531730
1022200201144
119462486780
124376976760
13212a4799c4
1411085b6452
1589dec7599
hex52b3c2fb8

22200201144 has 128 divisors (see below), whose sum is σ = 67361011200. Its totient is φ = 6718567680.

The previous prime is 22200201143. The next prime is 22200201173. The reversal of 22200201144 is 44110200222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200201143) 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 31 ways as a sum of consecutive naturals, for example, 1949772 + ... + 1961124.

It is an arithmetic number, because the mean of its divisors is an integer number (526257900).

Almost surely, 222200201144 is an apocalyptic number.

22200201144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33680505600).

22200201144 is an abundant number, since it is smaller than the sum of its proper divisors (45160810056).

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

22200201144 is a wasteful number, since it uses less digits than its factorization.

22200201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202 (or 12192 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22200201144 its reverse (44110200222), we get a palindrome (66310401366).

The spelling of 22200201144 in words is "twenty-two billion, two hundred million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 823 1188 1646 2376 2469 3292 4938 6584 7407 9053 9876 11353 14814 18106 19752 22221 22706 27159 29628 34059 36212 44442 45412 54318 59256 68118 72424 81477 88884 90824 102177 108636 124883 136236 162954 177768 204354 217272 244431 249766 272472 306531 325908 374649 408708 488862 499532 613062 651816 749298 817416 977724 999064 1123947 1226124 1498596 1955448 2247894 2452248 2997192 3371841 4495788 6743682 8991576 9343519 13487364 18687038 26974728 28030557 37374076 56061114 74748152 84091671 102778709 112122228 168183342 205557418 224244456 252275013 308336127 336366684 411114836 504550026 616672254 672733368 822229672 925008381 1009100052 1233344508 1850016762 2018200104 2466689016 2775025143 3700033524 5550050286 7400067048 11100100572 22200201144