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143226144 = 2535113163
BaseRepresentation
bin10001000100101…
…11010100100000
3100222111122100000
420202113110200
5243131214034
622113500000
73356254635
oct1042272440
9328448300
10143226144
1173935a16
123bb71600
13238998c9
141504418c
15c892599
hex8897520

143226144 has 144 divisors (see below), whose sum is σ = 428736672. Its totient is φ = 47029248.

The previous prime is 143226143. The next prime is 143226151. The reversal of 143226144 is 441622341.

It is a happy number.

143226144 is a `hidden beast` number, since 1 + 43 + 2 + 2 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (143226143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878607 + ... + 878769.

It is an arithmetic number, because the mean of its divisors is an integer number (2977338).

Almost surely, 2143226144 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 143226144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214368336).

143226144 is an abundant number, since it is smaller than the sum of its proper divisors (285510528).

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

143226144 is a wasteful number, since it uses less digits than its factorization.

143226144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 143226144 is about 11967.7125633932. The cubic root of 143226144 is about 523.2076675924.

Adding to 143226144 its reverse (441622341), we get a palindrome (584848485).

The spelling of 143226144 in words is "one hundred forty-three million, two hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 113 144 162 163 216 226 243 288 324 326 339 432 452 486 489 648 652 678 864 904 972 978 1017 1296 1304 1356 1467 1808 1944 1956 2034 2592 2608 2712 2934 3051 3616 3888 3912 4068 4401 5216 5424 5868 6102 7776 7824 8136 8802 9153 10848 11736 12204 13203 15648 16272 17604 18306 18419 23472 24408 26406 27459 32544 35208 36612 36838 39609 46944 48816 52812 54918 55257 70416 73224 73676 79218 97632 105624 109836 110514 140832 146448 147352 158436 165771 211248 219672 221028 292896 294704 316872 331542 422496 439344 442056 497313 589408 633744 663084 878688 884112 994626 1267488 1326168 1491939 1768224 1989252 2652336 2983878 3978504 4475817 5304672 5967756 7957008 8951634 11935512 15914016 17903268 23871024 35806536 47742048 71613072 143226144