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10022201000 = 235378916087
BaseRepresentation
bin10010101010101111…
…01010011010101000
3221212110112120011122
421111113222122220
5131011140413000
64334254314412
7503234205620
oct112527523250
927773476148
1010022201000
1142832a8a49
121b384b8a08
13c39491666
146b10a1880
153d9ce6085
hex2555ea6a8

10022201000 has 128 divisors (see below), whose sum is σ = 27105062400. Its totient is φ = 3397363200.

The previous prime is 10022200999. The next prime is 10022201009. The reversal of 10022201000 is 10222001.

Adding to 10022201000 its reverse (10222001), we get a palindrome (10032423001).

10022201000 is digitally balanced in base 2, 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 (8).

It is not an unprimeable number, because it can be changed into a prime (10022201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614957 + ... + 631043.

It is an arithmetic number, because the mean of its divisors is an integer number (211758300).

Almost surely, 210022201000 is an apocalyptic number.

10022201000 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 10022201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552531200).

10022201000 is an abundant number, since it is smaller than the sum of its proper divisors (17082861400).

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

10022201000 is a wasteful number, since it uses less digits than its factorization.

10022201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16204 (or 16190 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The spelling of 10022201000 in words is "ten billion, twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 89 100 125 140 175 178 200 250 280 350 356 445 500 623 700 712 875 890 1000 1246 1400 1750 1780 2225 2492 3115 3500 3560 4450 4984 6230 7000 8900 11125 12460 15575 16087 17800 22250 24920 31150 32174 44500 62300 64348 77875 80435 89000 112609 124600 128696 155750 160870 225218 311500 321740 402175 450436 563045 623000 643480 804350 900872 1126090 1431743 1608700 2010875 2252180 2815225 2863486 3217400 4021750 4504360 5630450 5726972 7158715 8043500 10022201 11260900 11453944 14076125 14317430 16087000 20044402 22521800 28152250 28634860 35793575 40088804 50111005 56304500 57269720 71587150 80177608 100222010 112609000 143174300 178967875 200444020 250555025 286348600 357935750 400888040 501110050 715871500 1002220100 1252775125 1431743000 2004440200 2505550250 5011100500 10022201000