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2225354106000 = 243531372127031
BaseRepresentation
bin100000011000100001011…
…100001110010010010000
321212202000202100120101110
4200120201130032102100
5242430011122343000
64422151421333320
7316530230541324
oct40304134162220
97782022316343
102225354106000
117888494180a3
122bb356707240
13131b0857cb1c
14799c9d73984
153cd4726e850
hex2062170e490

2225354106000 has 160 divisors (see below), whose sum is σ = 7175329963776. Its totient is φ = 593362560000.

The previous prime is 2225354105987. The next prime is 2225354106047. The reversal of 2225354106000 is 6014535222.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 82312485 + ... + 82339515.

Almost surely, 22225354106000 is an apocalyptic number.

2225354106000 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 2225354106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587664981888).

2225354106000 is an abundant number, since it is smaller than the sum of its proper divisors (4949975857776).

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

2225354106000 is a wasteful number, since it uses less digits than its factorization.

2225354106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40778 (or 40762 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2225354106000 in words is "two trillion, two hundred twenty-five billion, three hundred fifty-four million, one hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 13721 27031 27442 41163 54062 54884 68605 81093 82326 108124 109768 135155 137210 162186 164652 205815 216248 219536 270310 274420 324372 329304 343025 405465 411630 432496 540620 548840 648744 658608 675775 686050 810930 823260 1029075 1081240 1097680 1297488 1351550 1372100 1621860 1646520 1715125 2027325 2058150 2162480 2703100 2744200 3243720 3293040 3378875 3430250 4054650 4116300 5145375 5406200 5488400 6487440 6757750 6860500 8109300 8232600 10136625 10290750 10812400 13515500 13721000 16218600 16465200 20273250 20581500 27031000 27442000 32437200 40546500 41163000 54062000 81093000 82326000 162186000 370892351 741784702 1112677053 1483569404 1854461755 2225354106 2967138808 3708923510 4450708212 5563385265 5934277616 7417847020 8901416424 9272308775 11126770530 14835694040 17802832848 18544617550 22253541060 27816926325 29671388080 37089235100 44507082120 46361543875 55633852650 74178470200 89014164240 92723087750 111267705300 139084631625 148356940400 185446175500 222535410600 278169263250 370892351000 445070821200 556338526500 741784702000 1112677053000 2225354106000