Search a number
-
+
244036100 = 225271141773
BaseRepresentation
bin11101000101110…
…11001000000100
3122000012022121002
432202323020010
5444433123400
640114312432
76022162340
oct1642731004
9560168532
10244036100
1111582aa30
1269888718
133b734c79
14245a6620
1516656ed5
hexe8bb204

244036100 has 144 divisors (see below), whose sum is σ = 677206656. Its totient is φ = 74112000.

The previous prime is 244036069. The next prime is 244036129. The reversal of 244036100 is 1630442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315314 + ... + 316086.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2244036100 is an apocalyptic number.

244036100 is a gapful number since it is divisible by the number (20) 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 244036100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338603328).

244036100 is an abundant number, since it is smaller than the sum of its proper divisors (433170556).

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

244036100 is a wasteful number, since it uses less digits than its factorization.

244036100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 244036100 is about 15621.6548419174. The cubic root of 244036100 is about 624.9107926012.

Adding to 244036100 its reverse (1630442), we get a palindrome (245666542).

It can be divided in two parts, 24403 and 6100, that added together give a palindrome (30503).

The spelling of 244036100 in words is "two hundred forty-four million, thirty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 41 44 50 55 70 77 82 100 110 140 154 164 175 205 220 275 287 308 350 385 410 451 550 574 700 770 773 820 902 1025 1100 1148 1435 1540 1546 1804 1925 2050 2255 2870 3092 3157 3850 3865 4100 4510 5411 5740 6314 7175 7700 7730 8503 9020 10822 11275 12628 14350 15460 15785 17006 19325 21644 22550 27055 28700 31570 31693 34012 38650 42515 45100 54110 59521 63140 63386 77300 78925 85030 108220 119042 126772 135275 157850 158465 170060 212575 221851 238084 270550 297605 315700 316930 348623 425150 443702 541100 595210 633860 697246 792325 850300 887404 1109255 1190420 1394492 1488025 1584650 1743115 2218510 2440361 2976050 3169300 3486230 4437020 4880722 5546275 5952100 6972460 8715575 9761444 11092550 12201805 17431150 22185100 24403610 34862300 48807220 61009025 122018050 244036100