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8222288040 = 23325199711437
BaseRepresentation
bin1111010100001011…
…00010100010101000
3210020000200111202200
413222011202202220
5113314401204130
63435520100200
7410520203151
oct75205424250
923200614680
108222288040
11353a2a377a
121715764660
13a106020c5
1458000c928
15331ca8760
hex1ea1628a8

8222288040 has 96 divisors (see below), whose sum is σ = 26738155080. Its totient is φ = 2191320576.

The previous prime is 8222288023. The next prime is 8222288047. The reversal of 8222288040 is 408822228.

It can be written as a sum of positive squares in 4 ways, for example, as 3325367556 + 4896920484 = 57666^2 + 69978^2 .

It is a super-2 number, since 2×82222880402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8222287986 and 8222288004.

It is not an unprimeable number, because it can be changed into a prime (8222288047) 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, 713202 + ... + 724638.

Almost surely, 28222288040 is an apocalyptic number.

It is an amenable number.

8222288040 is an abundant number, since it is smaller than the sum of its proper divisors (18515867040).

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

8222288040 is a wasteful number, since it uses less digits than its factorization.

8222288040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13451 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8222288040 is about 90676.8329839546. The cubic root of 8222288040 is about 2018.3550343614.

The spelling of 8222288040 in words is "eight billion, two hundred twenty-two million, two hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1997 3994 5991 7988 9985 11437 11982 15976 17973 19970 22874 23964 29955 34311 35946 39940 45748 47928 57185 59910 68622 71892 79880 89865 91496 102933 114370 119820 137244 143784 171555 179730 205866 228740 239640 274488 343110 359460 411732 457480 514665 686220 718920 823464 1029330 1372440 2058660 4117320 22839689 45679378 68519067 91358756 114198445 137038134 182717512 205557201 228396890 274076268 342595335 411114402 456793780 548152536 685190670 822228804 913587560 1027786005 1370381340 1644457608 2055572010 2740762680 4111144020 8222288040