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22235413221 = 337178365983
BaseRepresentation
bin10100101101010101…
…010111101011100101
32010101121212000201000
4110231111113223211
5331014231210341
614114222023513
71415004615420
oct245525275345
963347760630
1022235413221
11948034706a
124386717b99
132134858158
14110d1409b7
158a21308b6
hex52d557ae5

22235413221 has 32 divisors (see below), whose sum is σ = 37668945920. Its totient is φ = 12698631792.

The previous prime is 22235413201. The next prime is 22235413241. The reversal of 22235413221 is 12231453222.

22235413221 is a `hidden beast` number, since 2 + 2 + 23 + 5 + 413 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (22235413201) and next prime (22235413241).

It is not a de Polignac number, because 22235413221 - 29 = 22235412709 is a prime.

It is a super-2 number, since 2×222354132212 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22235413201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303996 + ... + 369978.

It is an arithmetic number, because the mean of its divisors is an integer number (1177154560).

Almost surely, 222235413221 is an apocalyptic number.

22235413221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22235413221 is a deficient number, since it is larger than the sum of its proper divisors (15433532699).

22235413221 is a wasteful number, since it uses less digits than its factorization.

22235413221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67782 (or 67776 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 22235413221 its reverse (12231453222), we get a palindrome (34466866443).

The spelling of 22235413221 in words is "twenty-two billion, two hundred thirty-five million, four hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 1783 5349 12481 16047 37443 48141 65983 112329 197949 336987 461881 593847 1385643 1781541 4156929 12470787 117647689 352943067 823533823 1058829201 2470601469 3176487603 7411804407 22235413221