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4220000224 = 251111988637
BaseRepresentation
bin1111101110001000…
…0001011111100000
3101220002200020000121
43323202001133200
532120310001344
61534425130024
7206401260436
oct37342013740
911802606017
104220000224
1118760976a0
12999329914
1352338c26b
142c0660d56
1519a730684
hexfb8817e0

4220000224 has 24 divisors (see below), whose sum is σ = 9063410328. Its totient is φ = 1918181760.

The previous prime is 4220000173. The next prime is 4220000227.

4220000224 is nontrivially palindromic in base 10.

4220000224 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 4220000198 and 4220000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220000227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5993967 + ... + 5994670.

It is an arithmetic number, because the mean of its divisors is an integer number (377642097).

Almost surely, 24220000224 is an apocalyptic number.

4220000224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4220000224 is an abundant number, since it is smaller than the sum of its proper divisors (4843410104).

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

4220000224 is a wasteful number, since it uses less digits than its factorization.

4220000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988658 (or 11988650 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4220000224 is about 64961.5287997442. The cubic root of 4220000224 is about 1615.9856181120.

It can be divided in two parts, 4220000 and 224, that added together give a palindrome (4220224).

The spelling of 4220000224 in words is "four billion, two hundred twenty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 11988637 23977274 47954548 95909096 131875007 191818192 263750014 383636384 527500028 1055000056 2110000112 4220000224