Search a number
-
+
213777531400 = 23523134480247
BaseRepresentation
bin1100011100011000100…
…0100100001000001000
3202102210112010210112011
43013012020210020020
512000304022001100
6242112534225304
721305415015016
oct3070610441010
9672715123464
10213777531400
1182731930494
12355217b5234
131720b807b14
14a4bdc078b6
155862cb0bba
hex31c6224208

213777531400 has 48 divisors (see below), whose sum is σ = 513066090240. Its totient is φ = 82752590400.

The previous prime is 213777531389. The next prime is 213777531449. The reversal of 213777531400 is 4135777312.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 17233924 + ... + 17246323.

It is an arithmetic number, because the mean of its divisors is an integer number (10688876880).

Almost surely, 2213777531400 is an apocalyptic number.

213777531400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213777531400 is an abundant number, since it is smaller than the sum of its proper divisors (299288558840).

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

213777531400 is a wasteful number, since it uses less digits than its factorization.

213777531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34480294 (or 34480285 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The spelling of 213777531400 in words is "two hundred thirteen billion, seven hundred seventy-seven million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 34480247 68960494 137920988 172401235 275841976 344802470 689604940 862006175 1068887657 1379209880 1724012350 2137775314 3448024700 4275550628 5344438285 6896049400 8551101256 10688876570 21377753140 26722191425 42755506280 53444382850 106888765700 213777531400