Search a number
-
+
4404242220 = 2235736728573
BaseRepresentation
bin1000001101000001…
…10110011100101100
3102100221100200112020
410012200312130230
533004441222340
62005010110140
7214066304220
oct40640663454
912327320466
104404242220
111960097404
12a2ab7b350
135525b9bb1
142dad00780
151ab9c59d0
hex10683672c

4404242220 has 96 divisors (see below), whose sum is σ = 14132471808. Its totient is φ = 1003905792.

The previous prime is 4404242203. The next prime is 4404242231. The reversal of 4404242220 is 222424044.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139854 + ... + 168426.

It is an arithmetic number, because the mean of its divisors is an integer number (147213248).

Almost surely, 24404242220 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 4404242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066235904).

4404242220 is an abundant number, since it is smaller than the sum of its proper divisors (9728229588).

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

4404242220 is a wasteful number, since it uses less digits than its factorization.

4404242220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28959 (or 28957 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4404242220 is about 66364.4650396581. The cubic root of 4404242220 is about 1639.1689994807.

Adding to 4404242220 its reverse (222424044), we get a palindrome (4626666264).

The spelling of 4404242220 in words is "four billion, four hundred four million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 367 420 734 1101 1468 1835 2202 2569 3670 4404 5138 5505 7340 7707 10276 11010 12845 15414 22020 25690 28573 30828 38535 51380 57146 77070 85719 114292 142865 154140 171438 200011 285730 342876 400022 428595 571460 600033 800044 857190 1000055 1200066 1714380 2000110 2400132 3000165 4000220 6000330 10486291 12000660 20972582 31458873 41945164 52431455 62917746 73404037 104862910 125835492 146808074 157294365 209725820 220212111 293616148 314588730 367020185 440424222 629177460 734040370 880848444 1101060555 1468080740 2202121110 4404242220