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23154143400 = 23325212863413
BaseRepresentation
bin10101100100000110…
…000011000010101000
32012202122121100120200
4111210012003002220
5334404430042100
614345321352200
71446531654153
oct254406030250
965678540520
1023154143400
119901a01703
1245a2338660
13224ccabc8b
141199174c9a
15907b0be00
hex5641830a8

23154143400 has 72 divisors (see below), whose sum is σ = 77759337630. Its totient is φ = 6174437760.

The previous prime is 23154143399. The next prime is 23154143423. The reversal of 23154143400 is 434145132.

It is a happy number.

23154143400 is a `hidden beast` number, since 2 + 315 + 4 + 1 + 4 + 340 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19539007524 + 3615135876 = 139782^2 + 60126^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×231541434002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6429907 + ... + 6433506.

Almost surely, 223154143400 is an apocalyptic number.

23154143400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23154143400 is an abundant number, since it is smaller than the sum of its proper divisors (54605194230).

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

23154143400 is a wasteful number, since it uses less digits than its factorization.

23154143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12863435 (or 12863423 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23154143400 its reverse (434145132), we get a palindrome (23588288532).

The spelling of 23154143400 in words is "twenty-three billion, one hundred fifty-four million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12863413 25726826 38590239 51453652 64317065 77180478 102907304 115770717 128634130 154360956 192951195 231541434 257268260 308721912 321585325 385902390 463082868 514536520 578853585 643170650 771804780 926165736 964755975 1157707170 1286341300 1543609560 1929511950 2315414340 2572682600 2894267925 3859023900 4630828680 5788535850 7718047800 11577071700 23154143400