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23032122000 = 2435314925763
BaseRepresentation
bin10101011100110100…
…100100101010010000
32012110011000000200120
4111130310210222100
5334132210401000
614325242150240
71443520543506
oct253464445220
965404000616
1023032122000
11984a03a178
1245694b2380
132230927c74
141186c90676
158ec0576a0
hex55cd24a90

23032122000 has 160 divisors (see below), whose sum is σ = 74756822400. Its totient is φ = 6100441600.

The previous prime is 23032121999. The next prime is 23032122017. The reversal of 23032122000 is 22123032.

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 31 ways as a sum of consecutive naturals, for example, 881119 + ... + 906881.

It is an arithmetic number, because the mean of its divisors is an integer number (467230140).

Almost surely, 223032122000 is an apocalyptic number.

23032122000 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 23032122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37378411200).

23032122000 is an abundant number, since it is smaller than the sum of its proper divisors (51724700400).

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

23032122000 is a wasteful number, since it uses less digits than its factorization.

23032122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25938 (or 25922 counting only the distinct ones).

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

Adding to 23032122000 its reverse (22123032), we get a palindrome (23054245032).

The spelling of 23032122000 in words is "twenty-three billion, thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 149 150 200 240 250 298 300 375 400 447 500 596 600 745 750 894 1000 1192 1200 1490 1500 1788 2000 2235 2384 2980 3000 3576 3725 4470 5960 6000 7152 7450 8940 11175 11920 14900 17880 18625 22350 25763 29800 35760 37250 44700 51526 55875 59600 74500 77289 89400 103052 111750 128815 149000 154578 178800 206104 223500 257630 298000 309156 386445 412208 447000 515260 618312 644075 772890 894000 1030520 1236624 1288150 1545780 1932225 2061040 2576300 3091560 3220375 3838687 3864450 5152600 6183120 6440750 7677374 7728900 9661125 10305200 11516061 12881500 15354748 15457800 19193435 19322250 23032122 25763000 30709496 30915600 38386870 38644500 46064244 51526000 57580305 61418992 76773740 77289000 92128488 95967175 115160610 153547480 154578000 184256976 191934350 230321220 287901525 307094960 383868700 460642440 479835875 575803050 767737400 921284880 959671750 1151606100 1439507625 1535474800 1919343500 2303212200 2879015250 3838687000 4606424400 5758030500 7677374000 11516061000 23032122000