Search a number
-
+
2213535554000 = 24538931739229
BaseRepresentation
bin100000001101100001000…
…000000001100111010000
321211121112002122220220022
4200031201000001213100
5242231310100212000
64412514553003012
7315631321523441
oct40154100014720
97747462586808
102213535554000
11783834128051
122b8bb86b3468
13130973ba82a4
14791c84a92c8
153c8a48e1585
hex203610019d0

2213535554000 has 160 divisors (see below), whose sum is σ = 5429679933600. Its totient is φ = 872681779200.

The previous prime is 2213535553993. The next prime is 2213535554023. The reversal of 2213535554000 is 4555353122.

It can be written as a sum of positive squares in 16 ways, for example, as 1703202484624 + 510333069376 = 1305068^2 + 714376^2 .

It is a congruent number.

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, 56406386 + ... + 56445614.

It is an arithmetic number, because the mean of its divisors is an integer number (33935499585).

Almost surely, 22213535554000 is an apocalyptic number.

2213535554000 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 2213535554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714839966800).

2213535554000 is an abundant number, since it is smaller than the sum of its proper divisors (3216144379600).

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

2213535554000 is a wasteful number, since it uses less digits than its factorization.

2213535554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39658 (or 39642 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 2213535554000 in words is "two trillion, two hundred thirteen billion, five hundred thirty-five million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 317 356 400 445 500 634 712 890 1000 1268 1424 1585 1780 2000 2225 2536 3170 3560 4450 5072 6340 7120 7925 8900 11125 12680 15850 17800 22250 25360 28213 31700 35600 39229 39625 44500 56426 63400 78458 79250 89000 112852 126800 141065 156916 158500 178000 196145 225704 282130 313832 317000 392290 451408 564260 627664 634000 705325 784580 980725 1128520 1410650 1569160 1961450 2257040 2821300 3138320 3491381 3526625 3922900 4903625 5642600 6982762 7053250 7845800 9807250 11285200 12435593 13965524 14106500 15691600 17456905 19614500 24871186 27931048 28213000 34913810 39229000 49742372 55862096 56426000 62177965 69827620 78458000 87284525 99484744 124355930 139655240 174569050 198969488 248711860 279310480 310889825 349138100 436422625 497423720 621779650 698276200 872845250 994847440 1106767777 1243559300 1396552400 1554449125 1745690500 2213535554 2487118600 3108898250 3491381000 4427071108 4974237200 5533838885 6217796500 6982762000 8854142216 11067677770 12435593000 17708284432 22135355540 24871186000 27669194425 44270711080 55338388850 88541422160 110676777700 138345972125 221353555400 276691944250 442707110800 553383888500 1106767777000 2213535554000