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242224343010 = 232513207029353
BaseRepresentation
bin1110000110010110110…
…0100010011111100010
3212011020000211112222100
43201211230202133202
512432033412434020
6303135404151230
723333354641566
oct3414554423742
9764200745870
10242224343010
11937aa366051
123ab40538516
1319ac3177220
14ba1bc656a6
15647a385a90
hex3865b227e2

242224343010 has 48 divisors (see below), whose sum is σ = 678228163704. Its totient is φ = 59624453376.

The previous prime is 242224342963. The next prime is 242224343029. The reversal of 242224343010 is 10343422242.

242224343010 is a `hidden beast` number, since 2 + 4 + 2 + 224 + 3 + 430 + 1 + 0 = 666.

242224343010 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 219302080209 + 22922262801 = 468297^2 + 151401^2 .

It is a super-2 number, since 2×2422243430102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103513507 + ... + 103515846.

Almost surely, 2242224343010 is an apocalyptic number.

242224343010 is an abundant number, since it is smaller than the sum of its proper divisors (436003820694).

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

242224343010 is a wasteful number, since it uses less digits than its factorization.

242224343010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207029379 (or 207029376 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242224343010 its reverse (10343422242), we get a palindrome (252567765252).

The spelling of 242224343010 in words is "two hundred forty-two billion, two hundred twenty-four million, three hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 207029353 414058706 621088059 1035146765 1242176118 1863264177 2070293530 2691381589 3105440295 3726528354 5382763178 6210880590 8074144767 9316320885 13456907945 16148289534 18632641770 24222434301 26913815890 40370723835 48444868602 80741447670 121112171505 242224343010