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1010002220 = 225236732771
BaseRepresentation
bin111100001100110…
…110100100101100
32121101111102120122
4330030312210230
54032030032340
6244115504112
734012606613
oct7414664454
92541442518
101010002220
11479135687
122422b8038
1313132ca66
14981d287a
155da09db5
hex3c33692c

1010002220 has 48 divisors (see below), whose sum is σ = 2246323968. Its totient is φ = 380656320.

The previous prime is 1010002219. The next prime is 1010002229. The reversal of 1010002220 is 222000101.

1010002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010002198 and 1010002207.

It is not an unprimeable number, because it can be changed into a prime (1010002229) 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, 14435 + ... + 47205.

It is an arithmetic number, because the mean of its divisors is an integer number (46798416).

Almost surely, 21010002220 is an apocalyptic number.

1010002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123161984).

1010002220 is an abundant number, since it is smaller than the sum of its proper divisors (1236321748).

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

1010002220 is a wasteful number, since it uses less digits than its factorization.

1010002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32870 (or 32868 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1010002220 is about 31780.5320912033. The cubic root of 1010002220 is about 1003.3230186490.

Adding to 1010002220 its reverse (222000101), we get a palindrome (1232002321).

The spelling of 1010002220 in words is "one billion, ten million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 335 460 670 1340 1541 3082 6164 7705 15410 30820 32771 65542 131084 163855 327710 655420 753733 1507466 2195657 3014932 3768665 4391314 7537330 8782628 10978285 15074660 21956570 43913140 50500111 101000222 202000444 252500555 505001110 1010002220