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1002221220 = 22357112133741
BaseRepresentation
bin111011101111001…
…010111010100100
32120211212010001110
4323233022322210
54023032034340
6243241025020
733556511520
oct7357127244
92524763043
101002221220
11474800700
1223b785170
1312c837210
1497168d80
155cebe680
hex3bbcaea4

1002221220 has 576 divisors, whose sum is σ = 3994034688. Its totient is φ = 182476800.

The previous prime is 1002221219. The next prime is 1002221243. The reversal of 1002221220 is 221222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002221196 and 1002221205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24444400 + ... + 24444440.

It is an arithmetic number, because the mean of its divisors is an integer number (6934088).

Almost surely, 21002221220 is an apocalyptic number.

1002221220 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 1002221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997017344).

1002221220 is an abundant number, since it is smaller than the sum of its proper divisors (2991813468).

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

1002221220 is a wasteful number, since it uses less digits than its factorization.

1002221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1002221220 is about 31657.8776926060. The cubic root of 1002221220 is about 1000.7398591401.

Adding to 1002221220 its reverse (221222001), we get a palindrome (1223443221).

It can be divided in two parts, 1002 and 221220, that added together give a palindrome (222222).

The spelling of 1002221220 in words is "one billion, two million, two hundred twenty-one thousand, two hundred twenty".