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200201222000 = 2453138878681
BaseRepresentation
bin1011101001110011101…
…1000011011101110000
3201010202100220211012002
42322130323003131300
511240003003101000
6231545434553132
720315113211033
oct2723473033560
9633670824162
10200201222000
11779a540927a
1232972b987a8
1315b56c13750
149992b0101a
15531ae708d5
hex2e9cec3770

200201222000 has 160 divisors (see below), whose sum is σ = 521971841664. Its totient is φ = 73828608000.

The previous prime is 200201221963. The next prime is 200201222021. The reversal of 200201222000 is 222102002.

It is a congruent number.

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, 23057660 + ... + 23066340.

Almost surely, 2200201222000 is an apocalyptic number.

200201222000 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 200201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260985920832).

200201222000 is an abundant number, since it is smaller than the sum of its proper divisors (321770619664).

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

200201222000 is a wasteful number, since it uses less digits than its factorization.

200201222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9604 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200201222000 its reverse (222102002), we get a palindrome (200423324002).

The spelling of 200201222000 in words is "two hundred billion, two hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 887 1000 1040 1300 1625 1774 2000 2600 3250 3548 4435 5200 6500 7096 8681 8870 11531 13000 14192 17362 17740 22175 23062 26000 34724 35480 43405 44350 46124 57655 69448 70960 86810 88700 92248 110875 112853 115310 138896 173620 177400 184496 217025 221750 225706 230620 288275 347240 354800 434050 443500 451412 461240 564265 576550 694480 868100 887000 902824 922480 1085125 1128530 1153100 1441375 1736200 1774000 1805648 2170250 2257060 2306200 2821325 2882750 3472400 4340500 4514120 4612400 5642650 5765500 7700047 8681000 9028240 11285300 11531000 14106625 15400094 17362000 22570600 23062000 28213250 30800188 38500235 45141200 56426500 61600376 77000470 100100611 112853000 123200752 154000940 192501175 200201222 225706000 308001880 385002350 400402444 500503055 616003760 770004700 800804888 962505875 1001006110 1540009400 1601609776 1925011750 2002012220 2502515275 3080018800 3850023500 4004024440 5005030550 7700047000 8008048880 10010061100 12512576375 15400094000 20020122200 25025152750 40040244400 50050305500 100100611000 200201222000