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4210023220 = 22513395813
BaseRepresentation
bin1111101011101111…
…1101101100110100
3101212101220100010221
43322323331230310
532110231220340
61533431224124
7206220415114
oct37273755464
911771810127
104210023220
1118704a2837
12995b18044
135212a8000
142bd1c5044
1519990e44a
hexfaefdb34

4210023220 has 48 divisors (see below), whose sum is σ = 9577567440. Its totient is φ = 1554453888.

The previous prime is 4210023199. The next prime is 4210023227. The reversal of 4210023220 is 223200124.

It can be written as a sum of positive squares in 8 ways, for example, as 3970764196 + 239259024 = 63014^2 + 15468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4210023194 and 4210023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4210023227) 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, 3967 + ... + 91846.

It is an arithmetic number, because the mean of its divisors is an integer number (199532655).

Almost surely, 24210023220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4210023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788783720).

4210023220 is an abundant number, since it is smaller than the sum of its proper divisors (5367544220).

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

4210023220 is a wasteful number, since it uses less digits than its factorization.

4210023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95861 (or 95833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4210023220 is about 64884.6917230867. The cubic root of 4210023220 is about 1614.7110986260.

Adding to 4210023220 its reverse (223200124), we get a palindrome (4433223344).

The spelling of 4210023220 in words is "four billion, two hundred ten million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2197 3380 4394 8788 10985 21970 43940 95813 191626 383252 479065 958130 1245569 1916260 2491138 4982276 6227845 12455690 16192397 24911380 32384794 64769588 80961985 161923970 210501161 323847940 421002322 842004644 1052505805 2105011610 4210023220