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222440300431400 = 23521577084086001
BaseRepresentation
bin110010100100111011101011…
…000101110100100000101000
31002011121002021222212211002102
4302210323223011310200220
5213123430213402301100
62105031355134552532
764565532002633552
oct6244735305644050
91064532258784072
10222440300431400
1164970446650117
1220b46506668748
139717051816b0c
143cd024cd484d2
151aab2b1879cd5
hexca4eeb174828

222440300431400 has 48 divisors (see below), whose sum is σ = 520467798566940. Its totient is φ = 88409393280000.

The previous prime is 222440300431339. The next prime is 222440300431451. The reversal of 222440300431400 is 4134003044222.

It can be written as a sum of positive squares in 6 ways, for example, as 44037743576836 + 178402556854564 = 6636094^2 + 13356742^2 .

It is a super-3 number, since 3×2224403004314003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3542011601 + ... + 3542074400.

Almost surely, 2222440300431400 is an apocalyptic number.

222440300431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222440300431400 is an abundant number, since it is smaller than the sum of its proper divisors (298027498135540).

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

222440300431400 is a wasteful number, since it uses less digits than its factorization.

222440300431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084086174 (or 7084086165 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 222440300431400 its reverse (4134003044222), we get a palindrome (226574303475622).

The spelling of 222440300431400 in words is "two hundred twenty-two trillion, four hundred forty billion, three hundred million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 7084086001 14168172002 28336344004 35420430005 56672688008 70840860010 141681720020 177102150025 283363440040 354204300050 708408600100 1112201502157 1416817200200 2224403004314 4448806008628 5561007510785 8897612017256 11122015021570 22244030043140 27805037553925 44488060086280 55610075107850 111220150215700 222440300431400