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23074643000 = 235337738543
BaseRepresentation
bin10101011111010110…
…110001110000111000
32012120010000022112102
4111133112301300320
5334224102034000
614333401402532
71444545141443
oct253726616070
965503008472
1023074643000
1198710418a2
12457b799448
132239695116
14118c79c65a
15900b563d5
hex55f5b1c38

23074643000 has 128 divisors (see below), whose sum is σ = 56220203520. Its totient is φ = 8856345600.

The previous prime is 23074642999. The next prime is 23074643021. The reversal of 23074643000 is 34647032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2696729 + ... + 2705271.

It is an arithmetic number, because the mean of its divisors is an integer number (439220340).

Almost surely, 223074643000 is an apocalyptic number.

23074643000 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 23074643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28110101760).

23074643000 is an abundant number, since it is smaller than the sum of its proper divisors (33145560520).

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

23074643000 is a wasteful number, since it uses less digits than its factorization.

23074643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The spelling of 23074643000 in words is "twenty-three billion, seventy-four million, six hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 73 74 100 125 146 148 185 200 250 292 296 365 370 500 584 730 740 925 1000 1460 1480 1825 1850 2701 2920 3650 3700 4625 5402 7300 7400 8543 9125 9250 10804 13505 14600 17086 18250 18500 21608 27010 34172 36500 37000 42715 54020 67525 68344 73000 85430 108040 135050 170860 213575 270100 316091 337625 341720 427150 540200 623639 632182 675250 854300 1067875 1247278 1264364 1350500 1580455 1708600 2135750 2494556 2528728 2701000 3118195 3160910 4271500 4989112 6236390 6321820 7902275 8543000 12472780 12643640 15590975 15804550 23074643 24945560 31181950 31609100 39511375 46149286 62363900 63218200 77954875 79022750 92298572 115373215 124727800 155909750 158045500 184597144 230746430 311819500 316091000 461492860 576866075 623639000 922985720 1153732150 2307464300 2884330375 4614928600 5768660750 11537321500 23074643000