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20212303200 = 253528421793
BaseRepresentation
bin10010110100101111…
…110100010101100000
31221011122000101111020
4102310233310111200
5312343322200300
613141351445440
71313610512445
oct226457642540
957148011436
1020212303200
118632355611
123b01086880
131ba167bc2b
14d9a58b9cc
157d47058a0
hex4b4bf4560

20212303200 has 72 divisors (see below), whose sum is σ = 65791054728. Its totient is φ = 5389946880.

The previous prime is 20212303129. The next prime is 20212303219. The reversal of 20212303200 is 230321202.

It is a super-3 number, since 3×202123032003 (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20212303200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4208497 + ... + 4213296.

It is an arithmetic number, because the mean of its divisors is an integer number (913764649).

Almost surely, 220212303200 is an apocalyptic number.

20212303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212303200 is an abundant number, since it is smaller than the sum of its proper divisors (45578751528).

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

20212303200 is a wasteful number, since it uses less digits than its factorization.

20212303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421816 (or 8421803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20212303200 its reverse (230321202), we get a palindrome (20442624402).

The spelling of 20212303200 in words is "twenty billion, two hundred twelve million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 8421793 16843586 25265379 33687172 42108965 50530758 67374344 84217930 101061516 126326895 134748688 168435860 202123032 210544825 252653790 269497376 336871720 404246064 421089650 505307580 631634475 673743440 808492128 842179300 1010615160 1263268950 1347486880 1684358600 2021230320 2526537900 3368717200 4042460640 5053075800 6737434400 10106151600 20212303200