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4221216 = 253214657
BaseRepresentation
bin10000000110100100100000
321221110102100
4100012210200
52040034331
6230250400
750610516
oct20064440
97843370
104221216
11242350a
1214b6a00
13b4a47c
147bc4b6
15585ae6
hex406920

4221216 has 36 divisors (see below), whose sum is σ = 12004902. Its totient is φ = 1406976.

The previous prime is 4221209. The next prime is 4221223. The reversal of 4221216 is 6121224.

It is an interprime number because it is at equal distance from previous prime (4221209) and next prime (4221223).

It can be written as a sum of positive squares in only one way, i.e., 2250000 + 1971216 = 1500^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7041 + ... + 7616.

Almost surely, 24221216 is an apocalyptic number.

It is an amenable number.

4221216 is an abundant number, since it is smaller than the sum of its proper divisors (7783686).

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

4221216 is a wasteful number, since it uses less digits than its factorization.

4221216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14673 (or 14662 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 4221216 is about 2054.5598068686. The cubic root of 4221216 is about 161.6140790923.

The spelling of 4221216 in words is "four million, two hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14657 29314 43971 58628 87942 117256 131913 175884 234512 263826 351768 469024 527652 703536 1055304 1407072 2110608 4221216