Search a number
-
+
3000023222000 = 24537673198319
BaseRepresentation
bin101011101001111111010…
…100011000011011110000
3101121210120202222002001012
4223221333110120123300
5343123021421101000
610214105221130052
7426513241432520
oct53517724303360
911553522862035
103000023222000
11a57336997812
12405511859928
13189b935a0a2c
14a52b801d680
15530867ce735
hex2ba7f5186f0

3000023222000 has 160 divisors (see below), whose sum is σ = 8414089082880. Its totient is φ = 1013227142400.

The previous prime is 3000023221997. The next prime is 3000023222069. The reversal of 3000023222000 is 2223200003.

It is a super-2 number, since 2×30000232220002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661160 + ... + 2537159.

It is an arithmetic number, because the mean of its divisors is an integer number (52588056768).

Almost surely, 23000023222000 is an apocalyptic number.

It is an amenable number.

3000023222000 is an abundant number, since it is smaller than the sum of its proper divisors (5414065860880).

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

3000023222000 is a wasteful number, since it uses less digits than its factorization.

3000023222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198416 (or 3198400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 3000023222000 its reverse (2223200003), we get a palindrome (3002246422003).

The spelling of 3000023222000 in words is "three trillion, twenty-three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 67 70 80 100 112 125 134 140 175 200 250 268 280 335 350 400 469 500 536 560 670 700 875 938 1000 1072 1340 1400 1675 1750 1876 2000 2345 2680 2800 3350 3500 3752 4690 5360 6700 7000 7504 8375 9380 11725 13400 14000 16750 18760 23450 26800 33500 37520 46900 58625 67000 93800 117250 134000 187600 234500 469000 938000 3198319 6396638 12793276 15991595 22388233 25586552 31983190 44776466 51173104 63966380 79957975 89552932 111941165 127932760 159915950 179105864 214287373 223882330 255865520 319831900 358211728 399789875 428574746 447764660 559705825 639663800 799579750 857149492 895529320 1071436865 1119411650 1279327600 1500011611 1599159500 1714298984 1791058640 2142873730 2238823300 2798529125 3000023222 3198319000 3428597968 4285747460 4477646600 5357184325 5597058250 6000046444 6396638000 7500058055 8571494920 8955293200 10714368650 11194116500 12000092888 15000116110 17142989840 21428737300 22388233000 24000185776 26785921625 30000232220 37500290275 42857474600 44776466000 53571843250 60000464440 75000580550 85714949200 107143686500 120000928880 150001161100 187501451375 214287373000 300002322200 375002902750 428574746000 600004644400 750005805500 1500011611000 3000023222000