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30214040220 = 223257131844569
BaseRepresentation
bin11100001000111001…
…011010101010011100
32212222200001021100200
4130020321122222130
5443334243241340
621514035423500
72116506050550
oct341071325234
985880037320
1030214040220
11118a5046681
125a32754b90
132b06826c10
141668a43860
15bbc808330
hex708e5aa9c

30214040220 has 144 divisors (see below), whose sum is σ = 112799144640. Its totient is φ = 6374827008.

The previous prime is 30214040203. The next prime is 30214040221. The reversal of 30214040220 is 2204041203.

30214040220 is a `hidden beast` number, since 30 + 214 + 0 + 402 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30214040193 and 30214040202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30214040221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905905 + ... + 938664.

Almost surely, 230214040220 is an apocalyptic number.

30214040220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30214040220 is an abundant number, since it is smaller than the sum of its proper divisors (82585104420).

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

30214040220 is a wasteful number, since it uses less digits than its factorization.

30214040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844604 (or 1844599 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30214040220 its reverse (2204041203), we get a palindrome (32418081423).

The spelling of 30214040220 in words is "thirty billion, two hundred fourteen million, forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 1844569 3689138 5533707 7378276 9222845 11067414 12911983 16601121 18445690 22134828 23979397 25823966 27668535 33202242 36891380 38735949 47958794 51647932 55337070 64559915 66404484 71938191 77471898 83005605 95917588 110674140 116207847 119896985 129119830 143876382 154943796 166011210 167855779 193679745 215814573 232415694 239793970 258239660 287752764 332022420 335711558 359690955 387359490 431629146 464831388 479587940 503567337 581039235 671423116 719381910 774718980 839278895 863258292 1007134674 1079072865 1162078470 1438763820 1510702011 1678557790 2014269348 2158145730 2324156940 2517836685 3021404022 3357115580 4316291460 5035673370 6042808044 7553510055 10071346740 15107020110 30214040220