Search a number
-
+
4228390140 = 223513332077
BaseRepresentation
bin1111110000001000…
…0001110011111100
3101220200110110211020
43330002001303330
532124431441030
61535325024140
7206532503022
oct37402016374
911820413736
104228390140
11187a8a8107
129a00b5050
13525039000
142c1806712
1519b33b510
hexfc081cfc

4228390140 has 96 divisors (see below), whose sum is σ = 12826067520. Its totient is φ = 1040802048.

The previous prime is 4228390139. The next prime is 4228390141. The reversal of 4228390140 is 410938224.

4228390140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4228390139) and next prime (4228390141).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228390141) 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, 115782 + ... + 147858.

It is an arithmetic number, because the mean of its divisors is an integer number (133604870).

Almost surely, 24228390140 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 4228390140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413033760).

4228390140 is an abundant number, since it is smaller than the sum of its proper divisors (8597677380).

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

4228390140 is a wasteful number, since it uses less digits than its factorization.

4228390140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32128 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4228390140 is about 65026.0727708509. The cubic root of 4228390140 is about 1617.0558398945.

The spelling of 4228390140 in words is "four billion, two hundred twenty-eight million, three hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2197 2535 3380 4394 5070 6591 8788 10140 10985 13182 21970 26364 32077 32955 43940 64154 65910 96231 128308 131820 160385 192462 320770 384924 417001 481155 641540 834002 962310 1251003 1668004 1924620 2085005 2502006 4170010 5004012 5421013 6255015 8340020 10842026 12510030 16263039 21684052 25020060 27105065 32526078 54210130 65052156 70473169 81315195 108420260 140946338 162630390 211419507 281892676 325260780 352365845 422839014 704731690 845678028 1057097535 1409463380 2114195070 4228390140