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242230250400 = 25352100929271
BaseRepresentation
bin1110000110011000001…
…1000100101110100000
3212011020102221200101120
43201212003010232200
512432041421003100
6303140134532240
723333456104365
oct3414603045640
9764212850346
10242230250400
1193802730396
123ab42507080
1319ac4465018
14ba1c96246c
15647ab510a0
hex38660c4ba0

242230250400 has 72 divisors (see below), whose sum is σ = 788459472864. Its totient is φ = 64594732800.

The previous prime is 242230250387. The next prime is 242230250413. The reversal of 242230250400 is 4052032242.

It is a happy number.

242230250400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242230250387) and next prime (242230250413).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 50462236 + ... + 50467035.

It is an arithmetic number, because the mean of its divisors is an integer number (10950826012).

Almost surely, 2242230250400 is an apocalyptic number.

242230250400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242230250400 is an abundant number, since it is smaller than the sum of its proper divisors (546229222464).

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

242230250400 is a wasteful number, since it uses less digits than its factorization.

242230250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100929294 (or 100929281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 242230250400 its reverse (4052032242), we get a palindrome (246282282642).

The spelling of 242230250400 in words is "two hundred forty-two billion, two hundred thirty million, two hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 100929271 201858542 302787813 403717084 504646355 605575626 807434168 1009292710 1211151252 1513939065 1614868336 2018585420 2422302504 2523231775 3027878130 3229736672 4037170840 4844605008 5046463550 6055756260 7569695325 8074341680 9689210016 10092927100 12111512520 15139390650 16148683360 20185854200 24223025040 30278781300 40371708400 48446050080 60557562600 80743416800 121115125200 242230250400