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1001000220 = 22351137179229
BaseRepresentation
bin111011101010100…
…000110100011100
32120202120002011020
4323222200310130
54022224001340
6243154524140
733543234663
oct7352406434
92522502136
101001000220
11474047310
1223b296650
1312c4ca52c
1496d2bdda
155cd2c9d0
hex3baa0d1c

1001000220 has 192 divisors, whose sum is σ = 3171571200. Its totient is φ = 233763840.

The previous prime is 1001000173. The next prime is 1001000233. The reversal of 1001000220 is 220001001.

It is a happy number.

1001000220 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1001000199 and 1001000208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4371066 + ... + 4371294.

It is an arithmetic number, because the mean of its divisors is an integer number (16518600).

Almost surely, 21001000220 is an apocalyptic number.

1001000220 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 1001000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585785600).

1001000220 is an abundant number, since it is smaller than the sum of its proper divisors (2170570980).

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

1001000220 is a wasteful number, since it uses less digits than its factorization.

1001000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1001000220 is about 31638.5875158800. The cubic root of 1001000220 is about 1000.3332955684. Note that the first 3 decimals are identical.

Adding to 1001000220 its reverse (220001001), we get a palindrome (1221001221).

The spelling of 1001000220 in words is "one billion, one million, two hundred twenty", and thus it is an aban number.