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242221422312 = 233214489232189
BaseRepresentation
bin1110000110010110000…
…1011001011011101000
3212011012211100011112100
43201211201121123220
512432032141003222
6303135221413400
723333321055462
oct3414541313350
9764184304470
10242221422312
11937a8750751
123ab3b56a260
1319ac26939bc
14ba1b705132
156479eaa4ac
hex38658596e8

242221422312 has 48 divisors (see below), whose sum is σ = 656064454500. Its totient is φ = 80734553856.

The previous prime is 242221422251. The next prime is 242221422341. The reversal of 242221422312 is 213224122242.

242221422312 is a `hidden beast` number, since 2 + 4 + 2 + 221 + 422 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199642750596 + 42578671716 = 446814^2 + 206346^2 .

It is a nude number because it is divisible by every one of its digits.

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, 927114 + ... + 1159302.

Almost surely, 2242221422312 is an apocalyptic number.

It is an amenable number.

242221422312 is an abundant number, since it is smaller than the sum of its proper divisors (413843032188).

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

242221422312 is a wasteful number, since it uses less digits than its factorization.

242221422312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246690 (or 246683 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 242221422312 its reverse (213224122242), we get a palindrome (455445544554).

The spelling of 242221422312 in words is "two hundred forty-two billion, two hundred twenty-one million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14489 28978 43467 57956 86934 115912 130401 173868 232189 260802 347736 464378 521604 696567 928756 1043208 1393134 1857512 2089701 2786268 4179402 5572536 8358804 16717608 3364186421 6728372842 10092559263 13456745684 20185118526 26913491368 30277677789 40370237052 60555355578 80740474104 121110711156 242221422312