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213993340 = 22511288427
BaseRepresentation
bin11001100000101…
…00011101111100
3112220122222200021
430300110131330
5414240241330
633122341524
75205625201
oct1460243574
9486588607
10213993340
11aa880400
125b7ba8a4
13354466a2
14205c5ca8
1513bc067a
hexcc1477c

213993340 has 36 divisors (see below), whose sum is σ = 493958808. Its totient is φ = 77814880.

The previous prime is 213993337. The next prime is 213993343. The reversal of 213993340 is 43399312.

213993340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213993337) and next prime (213993343).

It is a junction number, because it is equal to n+sod(n) for n = 213993296 and 213993305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213993343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41794 + ... + 46633.

It is an arithmetic number, because the mean of its divisors is an integer number (13721078).

Almost surely, 2213993340 is an apocalyptic number.

213993340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213993340 is an abundant number, since it is smaller than the sum of its proper divisors (279965468).

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

213993340 is a wasteful number, since it uses less digits than its factorization.

213993340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88458 (or 88445 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 213993340 is about 14628.5112024430. The cubic root of 213993340 is about 598.1361978791.

The spelling of 213993340 in words is "two hundred thirteen million, nine hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 88427 176854 353708 442135 884270 972697 1768540 1945394 3890788 4863485 9726970 10699667 19453940 21399334 42798668 53498335 106996670 213993340