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221420452 = 221119299133
BaseRepresentation
bin11010011001010…
…01101110100100
3120102122022202111
431030221232210
5423140423302
633545450404
75326020451
oct1514515644
9512568674
10221420452
11103a93510
12621a0a04
1336b47126
142159a828
151468b0d7
hexd329ba4

221420452 has 48 divisors (see below), whose sum is σ = 460353600. Its totient is φ = 92050560.

The previous prime is 221420443. The next prime is 221420453. The reversal of 221420452 is 254024122.

221420452 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 (22).

It is not an unprimeable number, because it can be changed into a prime (221420453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19678 + ... + 28810.

It is an arithmetic number, because the mean of its divisors is an integer number (9590700).

Almost surely, 2221420452 is an apocalyptic number.

221420452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221420452 is an abundant number, since it is smaller than the sum of its proper divisors (238933148).

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

221420452 is a wasteful number, since it uses less digits than its factorization.

221420452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196 (or 9194 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 221420452 is about 14880.2033588254. The cubic root of 221420452 is about 604.9775298441.

Adding to 221420452 its reverse (254024122), we get a palindrome (475444574).

The spelling of 221420452 in words is "two hundred twenty-one million, four hundred twenty thousand, four hundred fifty-two".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 6061 9133 12122 18266 24244 36532 100463 173527 200926 264857 347054 401852 529714 694108 1059428 1908797 2913427 3817594 5032283 5826854 7635188 10064566 11653708 20129132 55355113 110710226 221420452