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2201022331900 = 2252722232014297
BaseRepresentation
bin100000000001110111001…
…001110111101111111100
321210102020000211101011221
4200001313021313233330
5242030143204110100
64403045151123124
7315006246063400
oct40016711675774
97712200741157
102201022331900
117794a27a9087
122b66a5b134a4
1312c72b60c362
147875c653100
153c3c109501a
hex20077277bfc

2201022331900 has 108 divisors (see below), whose sum is σ = 5580926839488. Its totient is φ = 751251836160.

The previous prime is 2201022331861. The next prime is 2201022331901. The reversal of 2201022331900 is 91332201022.

It is a super-2 number, since 2×22010223319002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201022331901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85552 + ... + 2099848.

Almost surely, 22201022331900 is an apocalyptic number.

2201022331900 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 2201022331900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790463419744).

2201022331900 is an abundant number, since it is smaller than the sum of its proper divisors (3379904507588).

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

2201022331900 is a wasteful number, since it uses less digits than its factorization.

2201022331900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014548 (or 2014534 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 2201022331900 its reverse (91332201022), we get a palindrome (2292354532922).

The spelling of 2201022331900 in words is "two trillion, two hundred one billion, twenty-two million, three hundred thirty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 223 245 350 446 490 700 892 980 1115 1225 1561 2230 2450 3122 4460 4900 5575 6244 7805 10927 11150 15610 21854 22300 31220 39025 43708 54635 78050 109270 156100 218540 273175 546350 1092700 2014297 4028594 8057188 10071485 14100079 20142970 28200158 40285940 50357425 56400316 70500395 98700553 100714850 141000790 197401106 201429700 282001580 352501975 394802212 449188231 493502765 705003950 898376462 987005530 1410007900 1796752924 1974011060 2245941155 2467513825 3144317617 4491882310 4935027650 6288635234 8983764620 9870055300 11229705775 12577270468 15721588085 22010223319 22459411550 31443176170 44020446638 44918823100 62886352340 78607940425 88040893276 110051116595 157215880850 220102233190 314431761700 440204466380 550255582975 1100511165950 2201022331900