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213491400 = 23352355819
BaseRepresentation
bin11001011100110…
…01111011001000
3112212201111010220
430232121323020
5414123211100
633103510040
75201434623
oct1456317310
9485644126
10213491400
11aa568281
125b5b8320
13352cc095
14204d4dba
1513b21aa0
hexcb99ec8

213491400 has 48 divisors (see below), whose sum is σ = 661825200. Its totient is φ = 56930880.

The previous prime is 213491393. The next prime is 213491401. The reversal of 213491400 is 4194312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213491401) 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, 177310 + ... + 178509.

It is an arithmetic number, because the mean of its divisors is an integer number (13788025).

Almost surely, 2213491400 is an apocalyptic number.

213491400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213491400 is an abundant number, since it is smaller than the sum of its proper divisors (448333800).

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

213491400 is a wasteful number, since it uses less digits than its factorization.

213491400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355838 (or 355829 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 213491400 is about 14611.3449072972. The cubic root of 213491400 is about 597.6681715893.

The spelling of 213491400 in words is "two hundred thirteen million, four hundred ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 355819 711638 1067457 1423276 1779095 2134914 2846552 3558190 4269828 5337285 7116380 8539656 8895475 10674570 14232760 17790950 21349140 26686425 35581900 42698280 53372850 71163800 106745700 213491400