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30232023000 = 2335337327017
BaseRepresentation
bin11100001001111110…
…000000111111011000
32220000220212220002120
4130021332000333120
5443403344214000
621515521101240
72120114645514
oct341176007730
986026786076
1030232023000
1111904209383
125a38787820
132b0a48210a
14166b1a5144
15bbe1ab6a0
hex709f80fd8

30232023000 has 128 divisors (see below), whose sum is σ = 94580291520. Its totient is φ = 8039961600.

The previous prime is 30232022993. The next prime is 30232023001. The reversal of 30232023000 is 32023203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30232023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105492 + ... + 1132508.

Almost surely, 230232023000 is an apocalyptic number.

30232023000 is a gapful number since it is divisible by the number (30) 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 30232023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47290145760).

30232023000 is an abundant number, since it is smaller than the sum of its proper divisors (64348268520).

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

30232023000 is a wasteful number, since it uses less digits than its factorization.

30232023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27414 (or 27400 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 30232023000 its reverse (32023203), we get a palindrome (30264046203).

The spelling of 30232023000 in words is "thirty billion, two hundred thirty-two million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 373 375 500 600 746 750 1000 1119 1492 1500 1865 2238 2984 3000 3730 4476 5595 7460 8952 9325 11190 14920 18650 22380 27017 27975 37300 44760 46625 54034 55950 74600 81051 93250 108068 111900 135085 139875 162102 186500 216136 223800 270170 279750 324204 373000 405255 540340 559500 648408 675425 810510 1080680 1119000 1350850 1621020 2026275 2701700 3242040 3377125 4052550 5403400 6754250 8105100 10077341 10131375 13508500 16210200 20154682 20262750 27017000 30232023 40309364 40525500 50386705 60464046 80618728 81051000 100773410 120928092 151160115 201546820 241856184 251933525 302320230 403093640 503867050 604640460 755800575 1007734100 1209280920 1259667625 1511601150 2015468200 2519335250 3023202300 3779002875 5038670500 6046404600 7558005750 10077341000 15116011500 30232023000