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10022044840 = 2352328138767
BaseRepresentation
bin10010101010101110…
…00100010010101000
3221212110020121221221
421111113010102220
5131011120413330
64334251111424
7503232655423
oct112527042250
927773217857
1010022044840
114283201695
121b38442574
13c39438562
146b10609ba
153d9cb4b7a
hex2555c44a8

10022044840 has 64 divisors (see below), whose sum is σ = 23614364160. Its totient is φ = 3820776960.

The previous prime is 10022044819. The next prime is 10022044841. The reversal of 10022044840 is 4844022001.

It is not an unprimeable number, because it can be changed into a prime (10022044841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239137 + ... + 277903.

It is an arithmetic number, because the mean of its divisors is an integer number (368974440).

Almost surely, 210022044840 is an apocalyptic number.

10022044840 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 10022044840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807182080).

10022044840 is an abundant number, since it is smaller than the sum of its proper divisors (13592319320).

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

10022044840 is a wasteful number, since it uses less digits than its factorization.

10022044840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39082 (or 39078 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 10022044840 its reverse (4844022001), we get a palindrome (14866066841).

The spelling of 10022044840 in words is "ten billion, twenty-two million, forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 281 460 562 920 1124 1405 2248 2810 5620 6463 11240 12926 25852 32315 38767 51704 64630 77534 129260 155068 193835 258520 310136 387670 775340 891641 1550680 1783282 3566564 4458205 7133128 8916410 10893527 17832820 21787054 35665640 43574108 54467635 87148216 108935270 217870540 250551121 435741080 501102242 1002204484 1252755605 2004408968 2505511210 5011022420 10022044840