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18222260040 = 2333531544273
BaseRepresentation
bin10000111110001000…
…011001111101001000
31202000221101201111000
4100332020121331020
5244304344310130
612212102135000
71213364440365
oct207610317510
952027351430
1018222260040
117800a99746
123646721460
1319452ac8ba
14c4c16546c
15719b5d260
hex43e219f48

18222260040 has 128 divisors (see below), whose sum is σ = 62700364800. Its totient is φ = 4702510080.

The previous prime is 18222260029. The next prime is 18222260041. The reversal of 18222260040 is 4006222281.

It is a happy number.

18222260040 is a `hidden beast` number, since 18 + 2 + 2 + 2 + 2 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18222259986 and 18222260013.

It is not an unprimeable number, because it can be changed into a prime (18222260041) 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, 238657 + ... + 305616.

It is an arithmetic number, because the mean of its divisors is an integer number (489846600).

Almost surely, 218222260040 is an apocalyptic number.

18222260040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18222260040 is an abundant number, since it is smaller than the sum of its proper divisors (44478104760).

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

18222260040 is a wasteful number, since it uses less digits than its factorization.

18222260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544324 (or 544314 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 18222260040 in words is "eighteen billion, two hundred twenty-two million, two hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 544273 1088546 1632819 2177092 2721365 3265638 4354184 4898457 5442730 6531276 8164095 9796914 10885460 13062552 14695371 16328190 16872463 19593828 21770920 24492285 29390742 32656380 33744926 39187656 48984570 50617389 58781484 65312760 67489852 73476855 84362315 97969140 101234778 117562968 134979704 146953710 151852167 168724630 195938280 202469556 253086945 293907420 303704334 337449260 404939112 455556501 506173890 587814840 607408668 674898520 759260835 911113002 1012347780 1214817336 1518521670 1822226004 2024695560 2277782505 3037043340 3644452008 4555565010 6074086680 9111130020 18222260040