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2104221020 = 22511471091867
BaseRepresentation
bin111110101101011…
…1101110101011100
312102122110111120212
41331122331311130
513302140033040
6544444431552
7103100404106
oct17532756534
95378414525
102104221020
1198a861440
124a88485b8
13276c381c5
1415d668576
15c4aecd65
hex7d6bdd5c

2104221020 has 96 divisors (see below), whose sum is σ = 4970972160. Its totient is φ = 741623040.

The previous prime is 2104221013. The next prime is 2104221023. The reversal of 2104221020 is 201224012.

It is a super-2 number, since 2×21042210202 = 8855492202019680800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2104220986 and 2104221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104221023) 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, 1126127 + ... + 1127993.

It is an arithmetic number, because the mean of its divisors is an integer number (51780960).

Almost surely, 22104221020 is an apocalyptic number.

2104221020 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 2104221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485486080).

2104221020 is an abundant number, since it is smaller than the sum of its proper divisors (2866751140).

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

2104221020 is a wasteful number, since it uses less digits than its factorization.

2104221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2104221020 is about 45871.7889339407. The cubic root of 2104221020 is about 1281.4365828770.

Adding to 2104221020 its reverse (201224012), we get a palindrome (2305445032).

The spelling of 2104221020 in words is "two billion, one hundred four million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 109 110 188 218 220 235 436 470 517 545 940 1034 1090 1199 1867 2068 2180 2398 2585 3734 4796 5123 5170 5995 7468 9335 10246 10340 11990 18670 20492 20537 23980 25615 37340 41074 51230 56353 82148 87749 102460 102685 112706 175498 203503 205370 225412 281765 350996 407006 410740 438745 563530 814012 877490 965239 1017515 1127060 1754980 1930478 2035030 2238533 3860956 4070060 4477066 4826195 8954132 9564641 9652390 11192665 19129282 19304780 22385330 38258564 44770660 47823205 95646410 105211051 191292820 210422102 420844204 526055255 1052110510 2104221020