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23430512000 = 27537209201
BaseRepresentation
bin10101110100100100…
…010011110110000000
32020110220122100000202
4111310210103312000
5340441202341000
614432553104332
71456426031420
oct256444236600
966426570022
1023430512000
119a33a05505
12465a9b80a8
1322953247ac
1411c3b56480
15921eeddd5
hex574913d80

23430512000 has 128 divisors (see below), whose sum is σ = 66576444480. Its totient is φ = 8033280000.

The previous prime is 23430511991. The next prime is 23430512003. The reversal of 23430512000 is 21503432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23430512003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7400 + ... + 216600.

Almost surely, 223430512000 is an apocalyptic number.

23430512000 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 23430512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33288222240).

23430512000 is an abundant number, since it is smaller than the sum of its proper divisors (43145932480).

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

23430512000 is an equidigital number, since it uses as much as digits as its factorization.

23430512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209237 (or 209215 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 23430512000 in words is "twenty-three billion, four hundred thirty million, five hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 209201 418402 836804 1046005 1464407 1673608 2092010 2928814 3347216 4184020 5230025 5857628 6694432 7322035 8368040 10460050 11715256 13388864 14644070 16736080 20920100 23430512 26150125 26777728 29288140 33472160 36610175 41840200 46861024 52300250 58576280 66944320 73220350 83680400 93722048 104600500 117152560 133888640 146440700 167360800 183050875 187444096 209201000 234305120 292881400 334721600 366101750 418402000 468610240 585762800 669443200 732203500 836804000 937220480 1171525600 1464407000 1673608000 2343051200 2928814000 3347216000 4686102400 5857628000 11715256000 23430512000