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201222212000 = 255383606091
BaseRepresentation
bin1011101101100111000…
…1110100100110100000
3201020101112002111011112
42323121301310212200
511244100341241000
6232235030202452
720352321403205
oct2733161644640
9636345074145
10201222212000
1178379769167
1232bb8ab3428
1315c8a5bc844
149a4c553cac
15537a8eb235
hex2ed9c749a0

201222212000 has 96 divisors (see below), whose sum is σ = 500360462784. Its totient is φ = 79519008000.

The previous prime is 201222211991. The next prime is 201222212011. The reversal of 201222212000 is 212222102.

201222212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28955 + ... + 635045.

It is an arithmetic number, because the mean of its divisors is an integer number (5212088154).

Almost surely, 2201222212000 is an apocalyptic number.

201222212000 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 201222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250180231392).

201222212000 is an abundant number, since it is smaller than the sum of its proper divisors (299138250784).

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

201222212000 is an equidigital number, since it uses as much as digits as its factorization.

201222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606199 (or 606181 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201222212000 its reverse (212222102), we get a palindrome (201434434102).

The spelling of 201222212000 in words is "two hundred one billion, two hundred twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 664 800 830 1000 1328 1660 2000 2075 2656 3320 4000 4150 6640 8300 10375 13280 16600 20750 33200 41500 66400 83000 166000 332000 606091 1212182 2424364 3030455 4848728 6060910 9697456 12121820 15152275 19394912 24243640 30304550 48487280 50305553 60609100 75761375 96974560 100611106 121218200 151522750 201222212 242436400 251527765 303045500 402444424 484872800 503055530 606091000 804888848 1006111060 1212182000 1257638825 1609777696 2012222120 2424364000 2515277650 4024444240 5030555300 6288194125 8048888480 10061110600 12576388250 20122221200 25152776500 40244442400 50305553000 100611106000 201222212000