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10002218000 = 245336713627
BaseRepresentation
bin10010101000010110…
…11011110000010000
3221211001221022122112
421110023123300100
5130441031434000
64332302124452
7502602310265
oct112413336020
927731838575
1010002218000
114272a9a475
121b31880728
13c352b5bb8
146ac57d26c
153d819a235
hex2542dbc10

10002218000 has 80 divisors (see below), whose sum is σ = 24253042944. Its totient is φ = 3989692800.

The previous prime is 10002217999. The next prime is 10002218077. The reversal of 10002218000 is 81220001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727187 + ... + 740813.

Almost surely, 210002218000 is an apocalyptic number.

10002218000 is a gapful number since it is divisible by the number (10) 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 10002218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126521472).

10002218000 is an abundant number, since it is smaller than the sum of its proper divisors (14250824944).

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

10002218000 is a wasteful number, since it uses less digits than its factorization.

10002218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14017 (or 14001 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10002218000 its reverse (81220001), we get a palindrome (10083438001).

The spelling of 10002218000 in words is "ten billion, two million, two hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 367 400 500 734 1000 1468 1835 2000 2936 3670 5872 7340 9175 13627 14680 18350 27254 29360 36700 45875 54508 68135 73400 91750 109016 136270 146800 183500 218032 272540 340675 367000 545080 681350 734000 1090160 1362700 1703375 2725400 3406750 5001109 5450800 6813500 10002218 13627000 20004436 25005545 27254000 40008872 50011090 80017744 100022180 125027725 200044360 250055450 400088720 500110900 625138625 1000221800 1250277250 2000443600 2500554500 5001109000 10002218000