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233023223000 = 23531973793121
BaseRepresentation
bin1101100100000101000…
…1000011010011011000
3211021110210022020011202
43121001101003103120
512304212421114000
6255014400213332
722556350500041
oct3310121032330
9737423266152
10233023223000
118a908597437
12391b300a248
1318c87b39c09
14b3c7c598c8
1560dc6ccdd5
hex36414434d8

233023223000 has 128 divisors (see below), whose sum is σ = 549664315200. Its totient is φ = 92461824000.

The previous prime is 233023222981. The next prime is 233023223071. The reversal of 233023223000 is 322320332.

233023223000 is digitally balanced in base 3, 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74661440 + ... + 74664560.

Almost surely, 2233023223000 is an apocalyptic number.

233023223000 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 233023223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274832157600).

233023223000 is an abundant number, since it is smaller than the sum of its proper divisors (316641092200).

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

233023223000 is a wasteful number, since it uses less digits than its factorization.

233023223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 233023223000 its reverse (322320332), we get a palindrome (233345543332).

The spelling of 233023223000 in words is "two hundred thirty-three billion, twenty-three million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 379 394 500 758 788 985 1000 1516 1576 1895 1970 3032 3121 3790 3940 4925 6242 7580 7880 9475 9850 12484 15160 15605 18950 19700 24625 24968 31210 37900 39400 47375 49250 62420 74663 75800 78025 94750 98500 124840 149326 156050 189500 197000 298652 312100 373315 379000 390125 597304 614837 624200 746630 780250 1182859 1229674 1493260 1560500 1866575 2365718 2459348 2986520 3074185 3121000 3733150 4731436 4918696 5914295 6148370 7466300 9332875 9462872 11828590 12296740 14932600 15370925 18665750 23657180 24593480 29571475 30741850 37331500 47314360 59142950 61483700 74663000 76854625 118285900 122967400 147857375 153709250 233023223 236571800 295714750 307418500 466046446 591429500 614837000 932092892 1165116115 1182859000 1864185784 2330232230 4660464460 5825580575 9320928920 11651161150 23302322300 29127902875 46604644600 58255805750 116511611500 233023223000