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20213304400 = 2452113447197
BaseRepresentation
bin10010110100110011…
…101000110001010000
31221011200220020212201
4102310303220301100
5312344101220100
613141425132544
71313622152422
oct226463506120
957150806781
1020213304400
118632979853
123b0148a154
131ba193c863
14d9a76c812
157d485236a
hex4b4ce8c50

20213304400 has 60 divisors (see below), whose sum is σ = 48992329692. Its totient is φ = 8013752320.

The previous prime is 20213304373. The next prime is 20213304431. The reversal of 20213304400 is 440331202.

It can be written as a sum of positive squares in 6 ways, for example, as 10837642816 + 9375661584 = 104104^2 + 96828^2 .

It is a super-3 number, since 3×202133044003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178399 + ... + 268798.

Almost surely, 220213304400 is an apocalyptic number.

20213304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213304400 is an abundant number, since it is smaller than the sum of its proper divisors (28779025292).

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

20213304400 is a wasteful number, since it uses less digits than its factorization.

20213304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447328 (or 447317 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20213304400 its reverse (440331202), we get a palindrome (20653635602).

The spelling of 20213304400 in words is "twenty billion, two hundred thirteen million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 200 226 400 452 565 904 1130 1808 2260 2825 4520 5650 9040 11300 22600 45200 447197 894394 1788788 2235985 3577576 4471970 7155152 8943940 11179925 17887880 22359850 35775760 44719700 50533261 89439400 101066522 178878800 202133044 252666305 404266088 505332610 808532176 1010665220 1263331525 2021330440 2526663050 4042660880 5053326100 10106652200 20213304400