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2255101132000 = 2553292670363
BaseRepresentation
bin100000110100001110100…
…000000111110011100000
321222120210212122001200011
4200310032200013303200
5243421421342211000
64443551255334304
7321632336230543
oct40641640076340
97876725561604
102255101132000
1179a423887002
12305078981394
13134869400962
147b20c96a85a
153d9d8a782ba
hex20d0e807ce0

2255101132000 has 144 divisors (see below), whose sum is σ = 5738441868432. Its totient is φ = 870934310400.

The previous prime is 2255101131979. The next prime is 2255101132001. The reversal of 2255101132000 is 2311015522.

It is a super-2 number, since 2×22551011320002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255101132001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028819 + ... + 3699181.

It is an arithmetic number, because the mean of its divisors is an integer number (39850290753).

Almost surely, 22255101132000 is an apocalyptic number.

2255101132000 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 2255101132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869220934216).

2255101132000 is an abundant number, since it is smaller than the sum of its proper divisors (3483340736432).

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

2255101132000 is an equidigital number, since it uses as much as digits as its factorization.

2255101132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670446 (or 670399 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 2255101132000 its reverse (2311015522), we get a palindrome (2257412147522).

The spelling of 2255101132000 in words is "two trillion, two hundred fifty-five billion, one hundred one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 841 928 1000 1160 1450 1682 2000 2320 2900 3364 3625 4000 4205 4640 5800 6728 7250 8410 11600 13456 14500 16820 21025 23200 26912 29000 33640 42050 58000 67280 84100 105125 116000 134560 168200 210250 336400 420500 670363 672800 841000 1340726 1682000 2681452 3351815 3364000 5362904 6703630 10725808 13407260 16759075 19440527 21451616 26814520 33518150 38881054 53629040 67036300 77762108 83795375 97202635 107258080 134072600 155524216 167590750 194405270 268145200 311048432 335181500 388810540 486013175 536290400 563775283 622096864 670363000 777621080 972026350 1127550566 1340726000 1555242160 1944052700 2255101132 2430065875 2681452000 2818876415 3110484320 3888105400 4510202264 4860131750 5637752830 7776210800 9020404528 9720263500 11275505660 14094382075 15552421600 18040809056 19440527000 22551011320 28188764150 38881054000 45102022640 56377528300 70471910375 77762108000 90204045280 112755056600 140943820750 225510113200 281887641500 451020226400 563775283000 1127550566000 2255101132000