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221404700 = 225211431467
BaseRepresentation
bin11010011001001…
…01111000011100
3120102121112011002
431030211320130
5423134422300
633545245432
75325623516
oct1514457034
9512545132
10221404700
11103a826a0
1262193878
1336b3cbca
1421594bb6
15146865d5
hexd325e1c

221404700 has 72 divisors (see below), whose sum is σ = 526466304. Its totient is φ = 80152000.

The previous prime is 221404699. The next prime is 221404727. The reversal of 221404700 is 7404122.

221404700 is digitally balanced in base 2, because in such base 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 (20).

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, 473867 + ... + 474333.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2221404700 is an apocalyptic number.

221404700 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 221404700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152).

221404700 is an abundant number, since it is smaller than the sum of its proper divisors (305061604).

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

221404700 is a wasteful number, since it uses less digits than its factorization.

221404700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 221404700 is about 14879.6740555699. The cubic root of 221404700 is about 604.9631833344.

Adding to 221404700 its reverse (7404122), we get a palindrome (228808822).

The spelling of 221404700 in words is "two hundred twenty-one million, four hundred four thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 431 467 550 862 934 1100 1724 1868 2155 2335 4310 4670 4741 5137 8620 9340 9482 10274 10775 11675 18964 20548 21550 23350 23705 25685 43100 46700 47410 51370 94820 102740 118525 128425 201277 237050 256850 402554 474100 513700 805108 1006385 2012770 2214047 4025540 4428094 5031925 8856188 10063850 11070235 20127700 22140470 44280940 55351175 110702350 221404700