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23046733200 = 2435279243109
BaseRepresentation
bin10101011101101100…
…010011110110010000
32012111011111100111010
4111131230103312100
5334144430430300
614330523250520
71444055666661
oct253554236620
965434440433
1023046733200
119857309847
124572379a40
13223397264a
141188bb5368
158ed491a50
hex55db13d90

23046733200 has 120 divisors (see below), whose sum is σ = 74761187200. Its totient is φ = 6067975680.

The previous prime is 23046733189. The next prime is 23046733243. The reversal of 23046733200 is 233764032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×230467332002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26755 + ... + 216354.

Almost surely, 223046733200 is an apocalyptic number.

23046733200 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 23046733200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37380593600).

23046733200 is an abundant number, since it is smaller than the sum of its proper divisors (51714454000).

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

23046733200 is a wasteful number, since it uses less digits than its factorization.

23046733200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243209 (or 243198 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The spelling of 23046733200 in words is "twenty-three billion, forty-six million, seven hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 150 158 200 237 240 300 316 395 400 474 600 632 790 948 1185 1200 1264 1580 1896 1975 2370 3160 3792 3950 4740 5925 6320 7900 9480 11850 15800 18960 23700 31600 47400 94800 243109 486218 729327 972436 1215545 1458654 1944872 2431090 2917308 3646635 3889744 4862180 5834616 6077725 7293270 9724360 11669232 12155450 14586540 18233175 19205611 19448720 24310900 29173080 36466350 38411222 48621800 57616833 58346160 72932700 76822444 96028055 97243600 115233666 145865400 153644888 192056110 230467332 288084165 291730800 307289776 384112220 460934664 480140275 576168330 768224440 921869328 960280550 1152336660 1440420825 1536448880 1920561100 2304673320 2880841650 3841122200 4609346640 5761683300 7682244400 11523366600 23046733200