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20220210020 = 225191972571051
BaseRepresentation
bin10010110101001101…
…111110101101100100
31221012011220002121102
4102311031332231210
5312402333210040
613142233135232
71314034643423
oct226515765544
957164802542
1020220210020
11863686607a
123b0385a518
131ba31b9b1a
14d9b6492ba
157d5268515
hex4b537eb64

20220210020 has 96 divisors (see below), whose sum is σ = 45141909120. Its totient is φ = 7586611200.

The previous prime is 20220210013. The next prime is 20220210053. The reversal of 20220210020 is 2001202202.

It is a junction number, because it is equal to n+sod(n) for n = 20220209983 and 20220210010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19238495 + ... + 19239545.

It is an arithmetic number, because the mean of its divisors is an integer number (470228220).

Almost surely, 220220210020 is an apocalyptic number.

20220210020 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 20220210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22570954560).

20220210020 is an abundant number, since it is smaller than the sum of its proper divisors (24921699100).

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

20220210020 is a wasteful number, since it uses less digits than its factorization.

20220210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20220210020 its reverse (2001202202), we get a palindrome (22221412222).

The spelling of 20220210020 in words is "twenty billion, two hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 197 257 380 394 514 788 985 1028 1051 1285 1970 2102 2570 3743 3940 4204 4883 5140 5255 7486 9766 10510 14972 18715 19532 19969 21020 24415 37430 39938 48830 50629 74860 79876 97660 99845 101258 199690 202516 207047 253145 270107 399380 414094 506290 540214 828188 961951 1012580 1035235 1080428 1350535 1923902 2070470 2701070 3847804 3933893 4140940 4809755 5132033 5402140 7867786 9619510 10264066 15735572 19239020 19669465 20528132 25660165 39338930 51320330 53211079 78677860 102640660 106422158 212844316 266055395 532110790 1011010501 1064221580 2022021002 4044042004 5055052505 10110105010 20220210020