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22413154100 = 2252534228897
BaseRepresentation
bin10100110111111011…
…011001011100110100
32010212000022012100112
4110313323121130310
5331400231412400
614144011402152
71422263444411
oct246773313464
963760265315
1022413154100
119561706457
124416153358
13216261a97c
1411289ab108
158b2a3e835
hex537ed9734

22413154100 has 36 divisors (see below), whose sum is σ = 49554226764. Its totient is φ = 8796103680.

The previous prime is 22413154067. The next prime is 22413154109. The reversal of 22413154100 is 145131422.

It can be written as a sum of positive squares in 6 ways, for example, as 2977448356 + 19435705744 = 54566^2 + 139412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413154109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2109149 + ... + 2119748.

It is an arithmetic number, because the mean of its divisors is an integer number (1376506299).

Almost surely, 222413154100 is an apocalyptic number.

22413154100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22413154100 is an abundant number, since it is smaller than the sum of its proper divisors (27141072664).

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

22413154100 is a wasteful number, since it uses less digits than its factorization.

22413154100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228964 (or 4228957 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 22413154100 its reverse (145131422), we get a palindrome (22558285522).

The spelling of 22413154100 in words is "twenty-two billion, four hundred thirteen million, one hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 4228897 8457794 16915588 21144485 42288970 84577940 105722425 211444850 224131541 422889700 448263082 896526164 1120657705 2241315410 4482630820 5603288525 11206577050 22413154100