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23442113200 = 24521131171863
BaseRepresentation
bin10101110101010000…
…100100001010110000
32020111201110201212211
4111311100210022300
5341002140110300
614434045501504
71456626450232
oct256520441260
966451421784
1023442113200
119a3a509680
124662871894
1322978570cc
1411c54d6252
159230414ba
hex5754242b0

23442113200 has 120 divisors (see below), whose sum is σ = 63421940736. Its totient is φ = 8249376000.

The previous prime is 23442113179. The next prime is 23442113203. The reversal of 23442113200 is 231124432.

It is a super-2 number, since 2×234421132002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23442113203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50469 + ... + 222331.

Almost surely, 223442113200 is an apocalyptic number.

23442113200 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 23442113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31710970368).

23442113200 is an abundant number, since it is smaller than the sum of its proper divisors (39979827536).

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

23442113200 is a wasteful number, since it uses less digits than its factorization.

23442113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171923 (or 171912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23442113200 its reverse (231124432), we get a palindrome (23673237632).

The spelling of 23442113200 in words is "twenty-three billion, four hundred forty-two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 155 176 200 220 248 275 310 341 400 440 496 550 620 682 775 880 1100 1240 1364 1550 1705 2200 2480 2728 3100 3410 4400 5456 6200 6820 8525 12400 13640 17050 27280 34100 68200 136400 171863 343726 687452 859315 1374904 1718630 1890493 2749808 3437260 3780986 4296575 5327753 6874520 7561972 8593150 9452465 10655506 13749040 15123944 17186300 18904930 21311012 26638765 30247888 34372600 37809860 42622024 47262325 53277530 58605283 68745200 75619720 85244048 94524650 106555060 117210566 133193825 151239440 189049300 213110120 234421132 266387650 293026415 378098600 426220240 468842264 532775300 586052830 756197200 937684528 1065550600 1172105660 1465132075 2131101200 2344211320 2930264150 4688422640 5860528300 11721056600 23442113200