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300223031220 = 2232572069115163
BaseRepresentation
bin1000101111001101010…
…11111110011110110100
31001200221001121012001200
410113212223332132310
514404324043444340
6345530501252500
730455543442210
oct4274653763664
91050831535050
10300223031220
1110636208aa22
124a228104130
13224070bac48
14107609db940
157c22067330
hex45e6afe7b4

300223031220 has 144 divisors (see below), whose sum is σ = 1041285248640. Its totient is φ = 68588644608.

The previous prime is 300223031197. The next prime is 300223031281. The reversal of 300223031220 is 22130322003.

It is a happy number.

300223031220 is a `hidden beast` number, since 300 + 2 + 2 + 30 + 312 + 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 = 300223031193 and 300223031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2549359 + ... + 2664521.

It is an arithmetic number, because the mean of its divisors is an integer number (7231147560).

Almost surely, 2300223031220 is an apocalyptic number.

300223031220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300223031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520642624320).

300223031220 is an abundant number, since it is smaller than the sum of its proper divisors (741062217420).

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

300223031220 is a wasteful number, since it uses less digits than its factorization.

300223031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117254 (or 117249 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 300223031220 its reverse (22130322003), we get a palindrome (322353353223).

The spelling of 300223031220 in words is "three hundred billion, two hundred twenty-three million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2069 4138 6207 8276 10345 12414 14483 18621 20690 24828 28966 31035 37242 41380 43449 57932 62070 72415 74484 86898 93105 115163 124140 130347 144830 173796 186210 217245 230326 260694 289660 345489 372420 434490 460652 521388 575815 651735 690978 806141 868980 1036467 1151630 1303470 1381956 1612282 1727445 2072934 2303260 2418423 2606940 3224564 3454890 4030705 4145868 4836846 5182335 6909780 7255269 8061410 9673692 10364670 12092115 14510538 16122820 20729340 24184230 29021076 36276345 48368460 72552690 145105380 238272247 476544494 714816741 953088988 1191361235 1429633482 1667905729 2144450223 2382722470 2859266964 3335811458 3574083705 4288900446 4765444940 5003717187 6671622916 7148167410 8339528645 8577800892 10007434374 10722251115 14296334820 15011151561 16679057290 20014868748 21444502230 25018585935 30022303122 33358114580 42889004460 50037171870 60044606244 75055757805 100074343740 150111515610 300223031220