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214753300 = 22522393371
BaseRepresentation
bin11001100110011…
…10000000010100
3112222002121010221
430303032000110
5414434101200
633150524124
75215241626
oct1463160024
9488077127
10214753300
1110024a373
125bb06644
1335651578
1420742c16
1513cc091a
hexccce014

214753300 has 36 divisors (see below), whose sum is σ = 486281376. Its totient is φ = 82165600.

The previous prime is 214753289. The next prime is 214753307. The reversal of 214753300 is 3357412.

It is a super-2 number, since 2×2147533002 = 92237959721780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214753307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44386 + ... + 48985.

It is an arithmetic number, because the mean of its divisors is an integer number (13507816).

Almost surely, 2214753300 is an apocalyptic number.

214753300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214753300 is an abundant number, since it is smaller than the sum of its proper divisors (271528076).

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

214753300 is a wasteful number, since it uses less digits than its factorization.

214753300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93408 (or 93401 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 214753300 is about 14654.4634838673. The cubic root of 214753300 is about 598.8434201190.

The spelling of 214753300 in words is "two hundred fourteen million, seven hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 93371 186742 373484 466855 933710 1867420 2147533 2334275 4295066 4668550 8590132 9337100 10737665 21475330 42950660 53688325 107376650 214753300