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21233040000 = 2735488471
BaseRepresentation
bin10011110001100101…
…100111101010000000
32000210202201012010220
4103301211213222000
5321441124240000
613430533423040
71351113601464
oct236145475200
960722635126
1021233040000
119006552247
124146a9aa80
132004c999c3
141055d764a4
158441311a0
hex4f1967a80

21233040000 has 160 divisors (see below), whose sum is σ = 70478564640. Its totient is φ = 5662080000.

The previous prime is 21233039981. The next prime is 21233040011. The reversal of 21233040000 is 4033212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195765 + ... + 284235.

It is an arithmetic number, because the mean of its divisors is an integer number (440491029).

Almost surely, 221233040000 is an apocalyptic number.

21233040000 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 21233040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35239282320).

21233040000 is an abundant number, since it is smaller than the sum of its proper divisors (49245524640).

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

21233040000 is an frugal number, since it uses more digits than its factorization.

21233040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88508 (or 88481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21233040000 its reverse (4033212), we get a palindrome (21237073212).

The spelling of 21233040000 in words is "twenty-one billion, two hundred thirty-three million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 88471 120000 176942 240000 265413 353884 442355 530826 707768 884710 1061652 1327065 1415536 1769420 2123304 2211775 2654130 2831072 3538840 4246608 4423550 5308260 5662144 6635325 7077680 8493216 8847100 10616520 11058875 11324288 13270650 14155360 16986432 17694200 21233040 22117750 26541300 28310720 33176625 33972864 35388400 42466080 44235500 53082600 55294375 56621440 66353250 70776800 84932160 88471000 106165200 110588750 132706500 141553600 165883125 169864320 176942000 212330400 221177500 265413000 283107200 331766250 353884000 424660800 442355000 530826000 663532500 707768000 849321600 884710000 1061652000 1327065000 1415536000 1769420000 2123304000 2654130000 3538840000 4246608000 5308260000 7077680000 10616520000 21233040000