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242320422400 = 295272704469
BaseRepresentation
bin1110000110101101101…
…1000011011000000000
3212011110201121220010021
43201223123003120000
512432233012004100
6303153115343224
723335632414460
oct3415333033000
9764421556107
10242320422400
1193849619a01
123ab68751b14
1319b0a047334
14ba2a915ba0
156483a13a1a
hex386b6c3600

242320422400 has 120 divisors (see below), whose sum is σ = 686134856880. Its totient is φ = 83081256960.

The previous prime is 242320422367. The next prime is 242320422457. The reversal of 242320422400 is 4224023242.

It is a super-2 number, since 2×2423204224002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1262635 + ... + 1441834.

It is an arithmetic number, because the mean of its divisors is an integer number (5717790474).

Almost surely, 2242320422400 is an apocalyptic number.

242320422400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242320422400 is an abundant number, since it is smaller than the sum of its proper divisors (443814434480).

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

242320422400 is an equidigital number, since it uses as much as digits as its factorization.

242320422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704504 (or 2704483 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 242320422400 its reverse (4224023242), we get a palindrome (246544445642).

The spelling of 242320422400 in words is "two hundred forty-two billion, three hundred twenty million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 89600 2704469 5408938 10817876 13522345 18931283 21635752 27044690 37862566 43271504 54089380 67611725 75725132 86543008 94656415 108178760 135223450 151450264 173086016 189312830 216357520 270446900 302900528 346172032 378625660 432715040 473282075 540893800 605801056 692344064 757251320 865430080 946564150 1081787600 1211602112 1384688128 1514502640 1730860160 1893128300 2163575200 2423204224 3029005280 3461720320 3786256600 4327150400 4846408448 6058010560 6923440640 7572513200 8654300800 9692816896 12116021120 15145026400 17308601600 24232042240 30290052800 34617203200 48464084480 60580105600 121160211200 242320422400