Search a number
-
+
2301402000 = 24353478161
BaseRepresentation
bin1000100100101100…
…1001101110010000
312221101111100001010
42021023021232100
514203124331000
61020211010520
7111013410552
oct21113115620
95841440033
102301402000
11a81099427
12542899a40
132a8a46341
1417b9154d2
15d709bd50
hex892c9b90

2301402000 has 160 divisors (see below), whose sum is σ = 7578514944. Its totient is φ = 600576000.

The previous prime is 2301401989. The next prime is 2301402001. The reversal of 2301402000 is 2041032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2301402001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277920 + ... + 286080.

Almost surely, 22301402000 is an apocalyptic number.

2301402000 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 2301402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789257472).

2301402000 is an abundant number, since it is smaller than the sum of its proper divisors (5277112944).

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

2301402000 is a wasteful number, since it uses less digits than its factorization.

2301402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2301402000 is about 47972.9298667488. The cubic root of 2301402000 is about 1320.2742772567.

Adding to 2301402000 its reverse (2041032), we get a palindrome (2303443032).

The spelling of 2301402000 in words is "two billion, three hundred one million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 125 141 150 188 200 235 240 250 282 300 375 376 400 470 500 564 600 705 750 752 940 1000 1128 1175 1200 1410 1500 1880 2000 2256 2350 2820 3000 3525 3760 4700 5640 5875 6000 7050 8161 9400 11280 11750 14100 16322 17625 18800 23500 24483 28200 32644 35250 40805 47000 48966 56400 65288 70500 81610 94000 97932 122415 130576 141000 163220 195864 204025 244830 282000 326440 383567 391728 408050 489660 612075 652880 767134 816100 979320 1020125 1150701 1224150 1534268 1632200 1917835 1958640 2040250 2301402 2448300 3060375 3068536 3264400 3835670 4080500 4602804 4896600 5753505 6120750 6137072 7671340 8161000 9205608 9589175 9793200 11507010 12241500 15342680 16322000 18411216 19178350 23014020 24483000 28767525 30685360 38356700 46028040 47945875 48966000 57535050 76713400 92056080 95891750 115070100 143837625 153426800 191783500 230140200 287675250 383567000 460280400 575350500 767134000 1150701000 2301402000