Search a number
-
+
213745400 = 23521197157
BaseRepresentation
bin11001011110101…
…11111011111000
3112220012101120022
430233113323320
5414204323100
633113150012
75203543301
oct1457277370
9486171508
10213745400
11aa7210a0
125b6bb308
133538a88b
142055d7a8
1513b71e85
hexcbd7ef8

213745400 has 48 divisors (see below), whose sum is σ = 542141640. Its totient is φ = 77724800.

The previous prime is 213745397. The next prime is 213745409. The reversal of 213745400 is 4547312.

It is a self number, because there is not a number n which added to its sum of digits gives 213745400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213745409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46379 + ... + 50778.

Almost surely, 2213745400 is an apocalyptic number.

213745400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213745400 is an abundant number, since it is smaller than the sum of its proper divisors (328396240).

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

213745400 is a wasteful number, since it uses less digits than its factorization.

213745400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97184 (or 97175 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 213745400 is about 14620.0341996864. The cubic root of 213745400 is about 597.9051015878.

The spelling of 213745400 in words is "two hundred thirteen million, seven hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 97157 194314 388628 485785 777256 971570 1068727 1943140 2137454 2428925 3886280 4274908 4857850 5343635 8549816 9715700 10687270 19431400 21374540 26718175 42749080 53436350 106872700 213745400