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221200700 = 2252736449
BaseRepresentation
bin11010010111101…
…00000100111100
3120102020011022112
431023310010330
5423111410300
633541033152
75324114000
oct1513640474
9512204275
10221200700
111039533a6
12620b57b8
1336a9b0b6
1421540700
1514645e35
hexd2f413c

221200700 has 72 divisors (see below), whose sum is σ = 559860000. Its totient is φ = 75828480.

The previous prime is 221200673. The next prime is 221200723. The reversal of 221200700 is 7002122.

221200700 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31076 + ... + 37524.

Almost surely, 2221200700 is an apocalyptic number.

221200700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221200700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279930000).

221200700 is an abundant number, since it is smaller than the sum of its proper divisors (338659300).

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

221200700 is a wasteful number, since it uses less digits than its factorization.

221200700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 221200700 is about 14872.8174869458. The cubic root of 221200700 is about 604.7773239669. Note that the first 3 decimals are identical.

Adding to 221200700 its reverse (7002122), we get a palindrome (228202822).

The spelling of 221200700 in words is "two hundred twenty-one million, two hundred thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6449 6860 8575 12898 17150 25796 32245 34300 45143 64490 90286 128980 161225 180572 225715 316001 322450 451430 632002 644900 902860 1128575 1264004 1580005 2212007 2257150 3160010 4424014 4514300 6320020 7900025 8848028 11060035 15800050 22120070 31600100 44240140 55300175 110600350 221200700