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10224022020 = 22351728135671
BaseRepresentation
bin10011000010110011…
…00011001000000100
3222101112022010120020
421201121203020010
5131414322201040
64410304135140
7511234516242
oct114131431004
928345263506
1010224022020
114377215083
121b940074b0
13c6c235794
146cdbd9792
153ec8aecd0
hex261663204

10224022020 has 96 divisors (see below), whose sum is σ = 30419940096. Its totient is φ = 2556825600.

The previous prime is 10224022019. The next prime is 10224022021. The reversal of 10224022020 is 2022042201.

It is an interprime number because it is at equal distance from previous prime (10224022019) and next prime (10224022021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10224022021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268785 + ... + 304455.

It is an arithmetic number, because the mean of its divisors is an integer number (316874376).

Almost surely, 210224022020 is an apocalyptic number.

10224022020 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 10224022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209970048).

10224022020 is an abundant number, since it is smaller than the sum of its proper divisors (20195918076).

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

10224022020 is a wasteful number, since it uses less digits than its factorization.

10224022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35981 (or 35979 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10224022020 its reverse (2022042201), we get a palindrome (12246064221).

The spelling of 10224022020 in words is "ten billion, two hundred twenty-four million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 281 340 510 562 843 1020 1124 1405 1686 2810 3372 4215 4777 5620 8430 9554 14331 16860 19108 23885 28662 35671 47770 57324 71342 71655 95540 107013 142684 143310 178355 214026 286620 356710 428052 535065 606407 713420 1070130 1212814 1819221 2140260 2425628 3032035 3638442 6064070 7276884 9096105 10023551 12128140 18192210 20047102 30070653 36384420 40094204 50117755 60141306 100235510 120282612 150353265 170400367 200471020 300706530 340800734 511201101 601413060 681601468 852001835 1022402202 1704003670 2044804404 2556005505 3408007340 5112011010 10224022020