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4427314100 = 2252117435417
BaseRepresentation
bin1000001111110001…
…10111001110110100
3102102112202212012022
410013320313032310
533031343022400
62011152412312
7214466356166
oct40770671664
912375685168
104427314100
111972115680
12a36847098
135573075b1
142dddc8936
151ada31b85
hex107e373b4

4427314100 has 72 divisors (see below), whose sum is σ = 10496703168. Its totient is φ = 1607468800.

The previous prime is 4427314081. The next prime is 4427314109. The reversal of 4427314100 is 14137244.

It is a super-2 number, since 2×44273141002 = 39202220280117620000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4427314100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4427314109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814592 + ... + 820008.

It is an arithmetic number, because the mean of its divisors is an integer number (145787544).

Almost surely, 24427314100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4427314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248351584).

4427314100 is an abundant number, since it is smaller than the sum of its proper divisors (6069389068).

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

4427314100 is a wasteful number, since it uses less digits than its factorization.

4427314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 4427314100 is about 66538.0650455061. The cubic root of 4427314100 is about 1642.0263100452.

The spelling of 4427314100 in words is "four billion, four hundred twenty-seven million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 743 1100 1486 2972 3715 5417 7430 8173 10834 14860 16346 18575 21668 27085 32692 37150 40865 54170 59587 74300 81730 108340 119174 135425 163460 204325 238348 270850 297935 408650 541700 595870 817300 1191740 1489675 2979350 4024831 5958700 8049662 16099324 20124155 40248310 44273141 80496620 88546282 100620775 177092564 201241550 221365705 402483100 442731410 885462820 1106828525 2213657050 4427314100