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200221102000 = 2453593075527
BaseRepresentation
bin1011101001111000011…
…0111000111110110000
3201010210202022211102101
42322132012320332300
511240023100231000
6231551425030144
720315444200153
oct2723606707660
9633722284371
10200221102000
1177a05657427
1232979785354
1315b5b08436a
1499955d7c9a
15531ca9ae6a
hex2e9e1b8fb0

200221102000 has 160 divisors (see below), whose sum is σ = 494033379840. Its totient is φ = 78460358400.

The previous prime is 200221101989. The next prime is 200221102021. The reversal of 200221102000 is 201122002.

200221102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36223237 + ... + 36228763.

It is an arithmetic number, because the mean of its divisors is an integer number (3087708624).

Almost surely, 2200221102000 is an apocalyptic number.

200221102000 is a gapful number since it is divisible by the number (20) 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 200221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247016689920).

200221102000 is an abundant number, since it is smaller than the sum of its proper divisors (293812277840).

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

200221102000 is a wasteful number, since it uses less digits than its factorization.

200221102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200221102000 its reverse (201122002), we get a palindrome (200422224002).

The spelling of 200221102000 in words is "two hundred billion, two hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 307 400 472 500 590 614 944 1000 1180 1228 1475 1535 2000 2360 2456 2950 3070 4720 4912 5527 5900 6140 7375 7675 11054 11800 12280 14750 15350 18113 22108 23600 24560 27635 29500 30700 36226 38375 44216 55270 59000 61400 72452 76750 88432 90565 110540 118000 122800 138175 144904 153500 181130 221080 276350 289808 307000 326093 362260 442160 452825 552700 614000 652186 690875 724520 905650 1105400 1304372 1381750 1449040 1630465 1696789 1811300 2210800 2264125 2608744 2763500 3260930 3393578 3622600 4528250 5217488 5527000 6521860 6787156 7245200 8152325 8483945 9056500 11054000 13043720 13574312 16304650 16967890 18113000 26087440 27148624 32609300 33935780 36226000 40761625 42419725 65218600 67871560 81523250 84839450 100110551 130437200 135743120 163046500 169678900 200221102 212098625 326093000 339357800 400442204 424197250 500552755 652186000 678715600 800884408 848394500 1001105510 1601768816 1696789000 2002211020 2502763775 3393578000 4004422040 5005527550 8008844080 10011055100 12513818875 20022110200 25027637750 40044220400 50055275500 100110551000 200221102000