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4228016625 = 32537536891
BaseRepresentation
bin1111110000000010…
…0110100111110001
3101220122202111110100
43330000212213301
532124333013000
61535313023013
7206526356040
oct37400464761
911818674410
104228016625
11187a672518
1299bb54a69
13524c37cb1
142c174a557
1519b2b5a00
hexfc0269f1

4228016625 has 48 divisors (see below), whose sum is σ = 8710535808. Its totient is φ = 1932804000.

The previous prime is 4228016621. The next prime is 4228016657. The reversal of 4228016625 is 5266108224.

It is a happy number.

4228016625 is a `hidden beast` number, since 4 + 2 + 28 + 0 + 1 + 6 + 625 = 666.

4228016625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4228016625 - 22 = 4228016621 is a prime.

It is a super-2 number, since 2×42280166252 = 35752249162552781250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4228016625.

It is not an unprimeable number, because it can be changed into a prime (4228016621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260571 + ... + 276320.

It is an arithmetic number, because the mean of its divisors is an integer number (181469496).

Almost surely, 24228016625 is an apocalyptic number.

4228016625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4228016625 is an abundant number, since it is smaller than the sum of its proper divisors (4482519183).

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

4228016625 is a wasteful number, since it uses less digits than its factorization.

4228016625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536919 (or 536906 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4228016625 is about 65023.2006671465. The cubic root of 4228016625 is about 1617.0082242632.

The spelling of 4228016625 in words is "four billion, two hundred twenty-eight million, sixteen thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 2625 7875 536891 1610673 2684455 3758237 4832019 8053365 11274711 13422275 18791185 24160095 33824133 40266825 56373555 67111375 93955925 120800475 169120665 201334125 281867775 469779625 604002375 845603325 1409338875 4228016625