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20282092820 = 22511431213901
BaseRepresentation
bin10010111000111010…
…000010110100010100
31221100111100001211222
4102320322002310110
5313014203432240
613152323345512
71315415641643
oct227072026424
957314301758
1020282092820
118668792590
123b20522298
131bb2c75a72
14da595735a
157da8ddeb5
hex4b8e82d14

20282092820 has 48 divisors (see below), whose sum is σ = 46572454656. Its totient is φ = 7358160000.

The previous prime is 20282092781. The next prime is 20282092861. The reversal of 20282092820 is 2829028202.

It is a super-2 number, since 2×202820928202 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12131 + ... + 201770.

It is an arithmetic number, because the mean of its divisors is an integer number (970259472).

Almost surely, 220282092820 is an apocalyptic number.

20282092820 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 20282092820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23286227328).

20282092820 is an abundant number, since it is smaller than the sum of its proper divisors (26290361836).

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

20282092820 is a wasteful number, since it uses less digits than its factorization.

20282092820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214352 (or 214350 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 20282092820 in words is "twenty billion, two hundred eighty-two million, ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 862 1724 2155 4310 4741 8620 9482 18964 23705 47410 94820 213901 427802 855604 1069505 2139010 2352911 4278020 4705822 9411644 11764555 23529110 47058220 92191331 184382662 368765324 460956655 921913310 1014104641 1843826620 2028209282 4056418564 5070523205 10141046410 20282092820