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244133120 = 2857112477
BaseRepresentation
bin11101000110100…
…10110100000000
3122000101020200102
432203102310000
5444444224440
640120341532
76023045240
oct1643226400
9560336612
10244133120
11115896910
12699148a8
133b76a18a
14245cdb20
1516675b15
hexe8d2d00

244133120 has 144 divisors (see below), whose sum is σ = 729364608. Its totient is φ = 76062720.

The previous prime is 244133093. The next prime is 244133137. The reversal of 244133120 is 21331442.

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

It is a junction number, because it is equal to n+sod(n) for n = 244133092 and 244133101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97322 + ... + 99798.

It is an arithmetic number, because the mean of its divisors is an integer number (5065032).

Almost surely, 2244133120 is an apocalyptic number.

244133120 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 244133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364682304).

244133120 is an abundant number, since it is smaller than the sum of its proper divisors (485231488).

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

244133120 is a wasteful number, since it uses less digits than its factorization.

244133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2502 counting only the distinct ones).

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

The square root of 244133120 is about 15624.7598381543. The cubic root of 244133120 is about 624.9935956677.

Adding to 244133120 its reverse (21331442), we get a palindrome (265464562).

The spelling of 244133120 in words is "two hundred forty-four million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2477 2816 3080 3520 4480 4928 4954 6160 7040 8960 9856 9908 12320 12385 14080 17339 19712 19816 24640 24770 27247 34678 39632 49280 49540 54494 69356 79264 86695 98560 99080 108988 136235 138712 158528 173390 190729 198160 217976 272470 277424 317056 346780 381458 396320 435952 544940 554848 634112 693560 762916 792640 871904 953645 1089880 1109696 1387120 1525832 1585280 1743808 1907290 2179760 2219392 2774240 3051664 3170560 3487616 3814580 4359520 4438784 5548480 6103328 6975232 7629160 8719040 11096960 12206656 15258320 17438080 22193920 24413312 30516640 34876160 48826624 61033280 122066560 244133120