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213053800 = 23521065269
BaseRepresentation
bin11001011001011…
…11000101101000
3112211220020212111
430230233011220
5414020210200
633050252104
75164633051
oct1454570550
9484806774
10213053800
11aa299523
125b427034
13351a7b4b
142041d728
1513a870ba
hexcb2f168

213053800 has 24 divisors (see below), whose sum is σ = 495350550. Its totient is φ = 85221440.

The previous prime is 213053767. The next prime is 213053851. The reversal of 213053800 is 8350312.

213053800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 138438756 + 74615044 = 11766^2 + 8638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532435 + ... + 532834.

Almost surely, 2213053800 is an apocalyptic number.

213053800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213053800 is an abundant number, since it is smaller than the sum of its proper divisors (282296750).

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

213053800 is a wasteful number, since it uses less digits than its factorization.

213053800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065285 (or 1065276 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 213053800 is about 14596.3625605834. The cubic root of 213053800 is about 597.2595392182.

The spelling of 213053800 in words is "two hundred thirteen million, fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1065269 2130538 4261076 5326345 8522152 10652690 21305380 26631725 42610760 53263450 106526900 213053800