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30220200 = 233252103163
BaseRepresentation
bin111001101000…
…1111110101000
32002212100022200
41303101332220
530214021300
62555420200
7514603353
oct163217650
962770280
1030220200
111607097a
12a154660
13635129a
14402929a
1529be200
hex1cd1fa8

30220200 has 144 divisors (see below), whose sum is σ = 103103520. Its totient is φ = 7931520.

The previous prime is 30220171. The next prime is 30220207. The reversal of 30220200 is 202203.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30220207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185319 + ... + 185481.

Almost surely, 230220200 is an apocalyptic number.

30220200 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 30220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51551760).

30220200 is an abundant number, since it is smaller than the sum of its proper divisors (72883320).

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

30220200 is a wasteful number, since it uses less digits than its factorization.

30220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30220200 is about 5497.2902415645. The cubic root of 30220200 is about 311.4816343185.

Adding to 30220200 its reverse (202203), we get a palindrome (30422403).

It can be divided in two parts, 302 and 20200, that added together give a palindrome (20502).

The spelling of 30220200 in words is "thirty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 103 120 150 163 180 200 206 225 300 309 326 360 412 450 489 515 600 618 652 815 824 900 927 978 1030 1236 1304 1467 1545 1630 1800 1854 1956 2060 2445 2472 2575 2934 3090 3260 3708 3912 4075 4120 4635 4890 5150 5868 6180 6520 7335 7416 7725 8150 9270 9780 10300 11736 12225 12360 14670 15450 16300 16789 18540 19560 20600 23175 24450 29340 30900 32600 33578 36675 37080 46350 48900 50367 58680 61800 67156 73350 83945 92700 97800 100734 134312 146700 151101 167890 185400 201468 251835 293400 302202 335780 402936 419725 503670 604404 671560 755505 839450 1007340 1208808 1259175 1511010 1678900 2014680 2518350 3022020 3357800 3777525 5036700 6044040 7555050 10073400 15110100 30220200