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30219800 = 23521359197
BaseRepresentation
bin111001101000…
…1111000011000
32002212022202212
41303101320120
530214013200
62555414252
7514602242
oct163217030
962768685
1030219800
1116070646
12a154388
136351050
144029092
1529be035
hex1cd1e18

30219800 has 96 divisors (see below), whose sum is σ = 77338800. Its totient is φ = 10913280.

The previous prime is 30219797. The next prime is 30219803. The reversal of 30219800 is 891203.

It is an interprime number because it is at equal distance from previous prime (30219797) and next prime (30219803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30219803) 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, 153302 + ... + 153498.

Almost surely, 230219800 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 30219800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38669400).

30219800 is an abundant number, since it is smaller than the sum of its proper divisors (47119000).

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

30219800 is a wasteful number, since it uses less digits than its factorization.

30219800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 30219800 is about 5497.2538598831. The cubic root of 30219800 is about 311.4802600368.

It can be divided in two parts, 3021 and 9800, that added together give a palindrome (12821).

The spelling of 30219800 in words is "thirty million, two hundred nineteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 100 104 118 130 197 200 236 260 295 325 394 472 520 590 650 767 788 985 1180 1300 1475 1534 1576 1970 2360 2561 2600 2950 3068 3835 3940 4925 5122 5900 6136 7670 7880 9850 10244 11623 11800 12805 15340 19175 19700 20488 23246 25610 30680 38350 39400 46492 51220 58115 64025 76700 92984 102440 116230 128050 151099 153400 232460 256100 290575 302198 464920 512200 581150 604396 755495 1162300 1208792 1510990 2324600 3021980 3777475 6043960 7554950 15109900 30219800