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23445200000 = 275558613
BaseRepresentation
bin10101110101011100…
…010101110010000000
32020111221021120011202
4111311130111302000
5341003432400000
614434240000332
71456664624525
oct256534256200
966457246152
1023445200000
119a41227852
1246639000a8
132298398111
1411c5a9b14c
15923450dd5
hex575715c80

23445200000 has 96 divisors (see below), whose sum is σ = 58381302420. Its totient is φ = 9377920000.

The previous prime is 23445199949. The next prime is 23445200057. The reversal of 23445200000 is 254432.

It can be written as a sum of positive squares in 6 ways, for example, as 1915456 + 23443284544 = 1384^2 + 153112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370694 + ... + 429306.

Almost surely, 223445200000 is an apocalyptic number.

23445200000 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 23445200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29190651210).

23445200000 is an abundant number, since it is smaller than the sum of its proper divisors (34936102420).

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

23445200000 is an frugal number, since it uses more digits than its factorization.

23445200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58652 (or 58620 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 23445200000 its reverse (254432), we get a palindrome (23445454432).

The spelling of 23445200000 in words is "twenty-three billion, four hundred forty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 58613 80000 100000 117226 200000 234452 293065 400000 468904 586130 937808 1172260 1465325 1875616 2344520 2930650 3751232 4689040 5861300 7326625 7502464 9378080 11722600 14653250 18756160 23445200 29306500 36633125 37512320 46890400 58613000 73266250 93780800 117226000 146532500 183165625 187561600 234452000 293065000 366331250 468904000 586130000 732662500 937808000 1172260000 1465325000 2344520000 2930650000 4689040000 5861300000 11722600000 23445200000