Search a number
-
+
23144244210 = 234517298869
BaseRepresentation
bin10101100011100000…
…010010001111110010
32012201221222102110000
4111203200102033302
5334344411303320
614344325250430
71446351554433
oct254340221762
965657872400
1023144244210
1198a736025a
12459ab63a16
13224ac24279
141197b1948a
15906d03c90
hex5638123f2

23144244210 has 120 divisors (see below), whose sum is σ = 66109030020. Its totient is φ = 5808692736.

The previous prime is 23144244203. The next prime is 23144244257. The reversal of 23144244210 is 1244244132.

23144244210 is a `hidden beast` number, since 2 + 3 + 1 + 442 + 4 + 4 + 210 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21571090641 + 1573153569 = 146871^2 + 39663^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 184656 + ... + 283524.

Almost surely, 223144244210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23144244210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33054515010).

23144244210 is an abundant number, since it is smaller than the sum of its proper divisors (42964785810).

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

23144244210 is a wasteful number, since it uses less digits than its factorization.

23144244210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98922 (or 98896 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 23144244210 its reverse (1244244132), we get a palindrome (24388488342).

The spelling of 23144244210 in words is "twenty-three billion, one hundred forty-four million, two hundred forty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 289 306 405 459 510 578 765 810 867 918 1377 1445 1530 1734 2295 2601 2754 2890 4335 4590 5202 6885 7803 8670 13005 13770 15606 23409 26010 39015 46818 78030 98869 117045 197738 234090 296607 494345 593214 889821 988690 1483035 1680773 1779642 2669463 2966070 3361546 4449105 5042319 5338926 8008389 8403865 8898210 10084638 13347315 15126957 16016778 16807730 25211595 26694630 28573141 30253914 40041945 45380871 50423190 57146282 75634785 80083890 85719423 90761742 136142613 142865705 151269570 171438846 226904355 257158269 272285226 285731410 428597115 453808710 514316538 680713065 771474807 857194230 1285791345 1361426130 1542949614 2314424421 2571582690 3857374035 4628848842 7714748070 11572122105 23144244210