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2200153040000 = 275435976607
BaseRepresentation
bin100000000001000011010…
…101110010010010000000
321210022222110002202212122
4200001003111302102000
5242021403134240000
64402423015143412
7314645562162566
oct40010325622200
97708873082778
102200153040000
11779097040223
122b64a2974b68
1312c6204a8056
14786b900ba36
153c36ead2085
hex20043572480

2200153040000 has 160 divisors (see below), whose sum is σ = 5492471846400. Its totient is φ = 877598336000.

The previous prime is 2200153039967. The next prime is 2200153040069. The reversal of 2200153040000 is 403510022.

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

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, 28681697 + ... + 28758303.

It is an arithmetic number, because the mean of its divisors is an integer number (34327949040).

Almost surely, 22200153040000 is an apocalyptic number.

2200153040000 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 2200153040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746235923200).

2200153040000 is an abundant number, since it is smaller than the sum of its proper divisors (3292318806400).

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

2200153040000 is an frugal number, since it uses more digits than its factorization.

2200153040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77000 (or 76973 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 2200153040000 its reverse (403510022), we get a palindrome (2200556550022).

The spelling of 2200153040000 in words is "two trillion, two hundred billion, one hundred fifty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 359 400 500 625 640 718 800 1000 1250 1436 1600 1795 2000 2500 2872 3200 3590 4000 5000 5744 7180 8000 8975 10000 11488 14360 16000 17950 20000 22976 28720 35900 40000 44875 45952 57440 71800 76607 80000 89750 114880 143600 153214 179500 224375 229760 287200 306428 359000 383035 448750 574400 612856 718000 766070 897500 1148800 1225712 1436000 1532140 1795000 1915175 2451424 2872000 3064280 3590000 3830350 4902848 5744000 6128560 7180000 7660700 9575875 9805696 12257120 14360000 15321400 19151750 24514240 27501913 28720000 30642800 38303500 47879375 49028480 55003826 61285600 76607000 95758750 110007652 122571200 137509565 153214000 191517500 220015304 245142400 275019130 306428000 383035000 440030608 550038260 612856000 687547825 766070000 880061216 1100076520 1225712000 1375095650 1532140000 1760122432 2200153040 2750191300 3064280000 3437739125 3520244864 4400306080 5500382600 6128560000 6875478250 8800612160 11000765200 13750956500 17188695625 17601224320 22001530400 27501913000 34377391250 44003060800 55003826000 68754782500 88006121600 110007652000 137509565000 220015304000 275019130000 440030608000 550038260000 1100076520000 2200153040000