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242250750 = 2345371709
BaseRepresentation
bin11100111000001…
…11001111111110
3121212211121120000
432130013033332
5444004011000
640012135130
76001045260
oct1634071776
9555747500
10242250750
11114820635
12691674a6
133b25b451
142425db30
1516403000
hexe7073fe

242250750 has 160 divisors (see below), whose sum is σ = 774671040. Its totient is φ = 55339200.

The previous prime is 242250739. The next prime is 242250751. The reversal of 242250750 is 57052242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242250751) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140896 + ... + 142604.

It is an arithmetic number, because the mean of its divisors is an integer number (4841694).

Almost surely, 2242250750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242250750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387335520).

242250750 is an abundant number, since it is smaller than the sum of its proper divisors (532420290).

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

242250750 is a wasteful number, since it uses less digits than its factorization.

242250750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 242250750 is about 15564.4065097260. The cubic root of 242250750 is about 623.3831274306.

The spelling of 242250750 in words is "two hundred forty-two million, two hundred fifty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 125 126 135 150 162 175 189 210 225 250 270 315 350 375 378 405 450 525 567 630 675 750 810 875 945 1050 1125 1134 1350 1575 1709 1750 1890 2025 2250 2625 2835 3150 3375 3418 4050 4725 5127 5250 5670 6750 7875 8545 9450 10125 10254 11963 14175 15381 15750 17090 20250 23625 23926 25635 28350 30762 35889 42725 46143 47250 51270 59815 70875 71778 76905 85450 92286 107667 119630 128175 138429 141750 153810 179445 213625 215334 230715 256350 276858 299075 323001 358890 384525 427250 461430 538335 598150 640875 646002 692145 769050 897225 969003 1076670 1153575 1281750 1384290 1495375 1615005 1794450 1922625 1938006 2307150 2691675 2990750 3230010 3460725 3845250 4486125 4845015 5383350 5767875 6921450 8075025 8972250 9690030 11535750 13458375 16150050 17303625 24225075 26916750 34607250 40375125 48450150 80750250 121125375 242250750