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2422132202000 = 24537785322031
BaseRepresentation
bin100011001111110010010…
…101000101101000010000
322120112221120001120111002
4203033302111011220100
5304141011320431000
65052413455041132
7336664460006240
oct43176225055020
98515846046432
102422132202000
11854247535115
123315132101a8
13147538231514
14853361a7b20
154301291a8d5
hex233f2545a10

2422132202000 has 160 divisors (see below), whose sum is σ = 6694545521664. Its totient is φ = 830301888000.

The previous prime is 2422132201987. The next prime is 2422132202003. The reversal of 2422132202000 is 2022312242.

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

It is not an unprimeable number, because it can be changed into a prime (2422132202003) 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, 109930985 + ... + 109953015.

Almost surely, 22422132202000 is an apocalyptic number.

2422132202000 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 2422132202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347272760832).

2422132202000 is an abundant number, since it is smaller than the sum of its proper divisors (4272413319664).

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

2422132202000 is a wasteful number, since it uses less digits than its factorization.

2422132202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29914 (or 29898 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2422132202000 its reverse (2022312242), we get a palindrome (2424154514242).

The spelling of 2422132202000 in words is "two trillion, four hundred twenty-two billion, one hundred thirty-two million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 7853 14000 15706 22031 31412 39265 44062 54971 62824 78530 88124 109942 110155 125648 154217 157060 176248 196325 219884 220310 274855 308434 314120 352496 392650 439768 440620 549710 550775 616868 628240 771085 785300 879536 881240 981625 1099420 1101550 1233736 1374275 1542170 1570600 1762480 1963250 2198840 2203100 2467472 2748550 2753875 3084340 3141200 3855425 3926500 4397680 4406200 5497100 5507750 6168680 6871375 7710850 7853000 8812400 10994200 11015500 12337360 13742750 15421700 15706000 19277125 21988400 22031000 27485500 30843400 38554250 44062000 54971000 61686800 77108500 109942000 154217000 173009443 308434000 346018886 692037772 865047215 1211066101 1384075544 1730094430 2422132202 2768151088 3460188860 4325236075 4844264404 6055330505 6920377720 8650472150 9688528808 12110661010 13840755440 17300944300 19377057616 21626180375 24221322020 30276652525 34601888600 43252360750 48442644040 60553305050 69203777200 86504721500 96885288080 121106610100 151383262625 173009443000 242213220200 302766525250 346018886000 484426440400 605533050500 1211066101000 2422132202000