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1000890220 = 225112676173
BaseRepresentation
bin111011101010000…
…101111101101100
32120202100111021011
4323222011331230
54022211441340
6243152315004
733542266201
oct7352057554
92522314234
101000890220
11473a81700
1223b242a64
1312c48c445
1496cddca8
155cd0a0ea
hex3ba85f6c

1000890220 has 72 divisors (see below), whose sum is σ = 2345181552. Its totient is φ = 358469760.

The previous prime is 1000890179. The next prime is 1000890223. The reversal of 1000890220 is 220980001.

1000890220 is digitally balanced in base 6, 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 1000890191 and 1000890200.

It is not an unprimeable number, because it can be changed into a prime (1000890223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159054 + ... + 165226.

It is an arithmetic number, because the mean of its divisors is an integer number (32571966).

Almost surely, 21000890220 is an apocalyptic number.

1000890220 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 1000890220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172590776).

1000890220 is an abundant number, since it is smaller than the sum of its proper divisors (1344291332).

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

1000890220 is a wasteful number, since it uses less digits than its factorization.

1000890220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1000890220 is about 31636.8490845722. The cubic root of 1000890220 is about 1000.2966519889.

The spelling of 1000890220 in words is "one billion, eight hundred ninety thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 484 605 670 737 1210 1340 1474 2420 2948 3685 6173 7370 8107 12346 14740 16214 24692 30865 32428 40535 61730 67903 81070 123460 135806 162140 271612 339515 413591 679030 746933 827182 1358060 1493866 1654364 2067955 2987732 3734665 4135910 4549501 7469330 8271820 9099002 14938660 18198004 22747505 45495010 50044511 90990020 100089022 200178044 250222555 500445110 1000890220