Search a number
-
+
240422000 = 24537131321
BaseRepresentation
bin11100101010010…
…00110001110000
3121202101200222112
432111020301300
5443022001000
635505024452
75646360530
oct1625106160
9552350875
10240422000
11113791675
1268625128
133aa6ac50
1423d054c0
1516191235
hexe548c70

240422000 has 160 divisors (see below), whose sum is σ = 716037504. Its totient is φ = 76032000.

The previous prime is 240421997. The next prime is 240422003. The reversal of 240422000 is 224042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (240421997) and next prime (240422003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240422003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181340 + ... + 182660.

Almost surely, 2240422000 is an apocalyptic number.

240422000 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 240422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358018752).

240422000 is an abundant number, since it is smaller than the sum of its proper divisors (475615504).

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

240422000 is a wasteful number, since it uses less digits than its factorization.

240422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 240422000 is about 15505.5473944005. The cubic root of 240422000 is about 621.8105246152.

Adding to 240422000 its reverse (224042), we get a palindrome (240646042).

The spelling of 240422000 in words is "two hundred forty million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1321 1400 1456 1625 1750 1820 2000 2275 2600 2642 2800 3250 3500 3640 4550 5200 5284 6500 6605 7000 7280 9100 9247 10568 11375 13000 13210 14000 17173 18200 18494 21136 22750 26000 26420 33025 34346 36400 36988 45500 46235 52840 66050 68692 73976 85865 91000 92470 105680 120211 132100 137384 147952 165125 171730 182000 184940 231175 240422 264200 274768 330250 343460 369880 429325 462350 480844 528400 601055 660500 686920 739760 858650 924700 961688 1155875 1202110 1321000 1373840 1717300 1849400 1923376 2146625 2311750 2404220 2642000 3005275 3434600 3698800 4293250 4623500 4808440 6010550 6869200 8586500 9247000 9616880 12021100 15026375 17173000 18494000 24042200 30052750 34346000 48084400 60105500 120211000 240422000