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193023000 = 2334532383
BaseRepresentation
bin10111000000101…
…00110000011000
3111110012120210000
423200110300120
5343403214000
631053053000
74532445162
oct1340246030
9443176700
10193023000
1199a58045
1254787160
1330cb36c1
141b8c7932
1511e2c000
hexb814c18

193023000 has 160 divisors (see below), whose sum is σ = 675005760. Its totient is φ = 51451200.

The previous prime is 193022987. The next prime is 193023007. The reversal of 193023000 is 320391.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193023007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79809 + ... + 82191.

It is an arithmetic number, because the mean of its divisors is an integer number (4218786).

Almost surely, 2193023000 is an apocalyptic number.

193023000 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 193023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337502880).

193023000 is an abundant number, since it is smaller than the sum of its proper divisors (481982760).

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

193023000 is a wasteful number, since it uses less digits than its factorization.

193023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 193023000 is about 13893.2717529026. The cubic root of 193023000 is about 577.9226118937.

Adding to 193023000 its reverse (320391), we get a palindrome (193343391).

The spelling of 193023000 in words is "one hundred ninety-three million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2383 2700 3000 3240 3375 4050 4500 4766 5400 6750 7149 8100 9000 9532 10125 11915 13500 14298 16200 19064 20250 21447 23830 27000 28596 35745 40500 42894 47660 57192 59575 64341 71490 81000 85788 95320 107235 119150 128682 142980 171576 178725 193023 214470 238300 257364 285960 297875 321705 357450 386046 428940 476600 514728 536175 595750 643410 714900 772092 857880 893625 965115 1072350 1191500 1286820 1429800 1544184 1608525 1787250 1930230 2144700 2383000 2573640 2680875 3217050 3574500 3860460 4289400 4825575 5361750 6434100 7149000 7720920 8042625 9651150 10723500 12868200 16085250 19302300 21447000 24127875 32170500 38604600 48255750 64341000 96511500 193023000