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20225820736 = 2611137209707
BaseRepresentation
bin10010110101100011…
…011000100001000000
31221012120110011001201
4102311203120201000
5312410302230421
613142553310544
71314133432252
oct226543304100
957176404051
1020225820736
118639a48530
123b05705454
131ba4402884
14d9c2a9cd2
157d59c5b91
hex4b58d8840

20225820736 has 56 divisors (see below), whose sum is σ = 44104108896. Its totient is φ = 9126405120.

The previous prime is 20225820683. The next prime is 20225820749. The reversal of 20225820736 is 63702852202.

It is a junction number, because it is equal to n+sod(n) for n = 20225820695 and 20225820704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8406 + ... + 201301.

Almost surely, 220225820736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20225820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052054448).

20225820736 is an abundant number, since it is smaller than the sum of its proper divisors (23878288160).

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

20225820736 is a wasteful number, since it uses less digits than its factorization.

20225820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209867 (or 209857 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 20225820736 in words is "twenty billion, two hundred twenty-five million, eight hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 137 176 274 352 548 704 1096 1507 2192 3014 4384 6028 8768 12056 24112 48224 96448 209707 419414 838828 1677656 2306777 3355312 4613554 6710624 9227108 13421248 18454216 28729859 36908432 57459718 73816864 114919436 147633728 229838872 316028449 459677744 632056898 919355488 1264113796 1838710976 2528227592 5056455184 10112910368 20225820736