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244022142 = 237132311109
BaseRepresentation
bin11101000101101…
…11101101111110
3122000011121110010
432202313231332
5444432202032
640114124050
76022103550
oct1642675576
9560147403
10244022142
111158204a1
1269880626
133b72b800
14245a14d0
1516652ccc
hexe8b7b7e

244022142 has 96 divisors (see below), whose sum is σ = 624015360. Its totient is φ = 62225280.

The previous prime is 244022113. The next prime is 244022179. The reversal of 244022142 is 241220442.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 219484 + ... + 220592.

It is an arithmetic number, because the mean of its divisors is an integer number (6500160).

Almost surely, 2244022142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244022142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312007680).

244022142 is an abundant number, since it is smaller than the sum of its proper divisors (379993218).

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

244022142 is a wasteful number, since it uses less digits than its factorization.

244022142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 244022142 is about 15621.2080838839. The cubic root of 244022142 is about 624.8988781465.

Adding to 244022142 its reverse (241220442), we get a palindrome (485242584).

The spelling of 244022142 in words is "two hundred forty-four million, twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 169 182 186 217 273 338 403 434 507 546 651 806 1014 1109 1183 1209 1302 2218 2366 2418 2821 3327 3549 5239 5642 6654 7098 7763 8463 10478 14417 15526 15717 16926 23289 28834 31434 34379 36673 43251 46578 68758 73346 86502 100919 103137 110019 187421 201838 206274 220038 240653 302757 374842 446927 481306 562263 605514 721959 893854 1124526 1311947 1340781 1443918 2623894 2681562 3128489 3935841 5810051 6256978 7871682 9385467 11620102 17430153 18770934 34860306 40670357 81340714 122011071 244022142