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2193000920 = 235116018293
BaseRepresentation
bin1000001010110110…
…1000100111011000
312122211111222201022
42002231220213120
513442402012140
61001335342012
7105226125455
oct20255504730
95584458638
102193000920
11a2598a060
12512521908
1328c4509a6
1416b37882c
15cc7d80b5
hex82b689d8

2193000920 has 64 divisors (see below), whose sum is σ = 5392427040. Its totient is φ = 796032000.

The previous prime is 2193000917. The next prime is 2193000959. The reversal of 2193000920 is 290003912.

It is a self number, because there is not a number n which added to its sum of digits gives 2193000920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260294 + ... + 268586.

Almost surely, 22193000920 is an apocalyptic number.

2193000920 is a gapful number since it is divisible by the number (20) 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 2193000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696213520).

2193000920 is an abundant number, since it is smaller than the sum of its proper divisors (3199426120).

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

2193000920 is a wasteful number, since it uses less digits than its factorization.

2193000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 2193000920 is about 46829.4877187441. The cubic root of 2193000920 is about 1299.2107477529.

The spelling of 2193000920 in words is "two billion, one hundred ninety-three million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 601 1202 2404 3005 4808 6010 6611 8293 12020 13222 16586 24040 26444 33055 33172 41465 52888 66110 66344 82930 91223 132220 165860 182446 264440 331720 364892 456115 729784 912230 1824460 3648920 4984093 9968186 19936372 24920465 39872744 49840930 54825023 99681860 109650046 199363720 219300092 274125115 438600184 548250230 1096500460 2193000920