Search a number
-
+
2220155449072 = 241131458388789
BaseRepresentation
bin100000010011101011100…
…100111010111011110000
321212020121110011102202021
4200103223210322323300
5242333334243332242
64415531512201224
7316254343642201
oct40235344727360
97766543142667
102220155449072
11786620965210
122ba345699214
1313148a517372
147965575d5a8
153cb40b76b67
hex204eb93aef0

2220155449072 has 80 divisors (see below), whose sum is σ = 4845087037440. Its totient is φ = 976383878400.

The previous prime is 2220155449003. The next prime is 2220155449087. The reversal of 2220155449072 is 2709445510222.

2220155449072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22201554490722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24960454 + ... + 25049242.

It is an arithmetic number, because the mean of its divisors is an integer number (60563587968).

Almost surely, 22220155449072 is an apocalyptic number.

2220155449072 is a gapful number since it is divisible by the number (22) 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 2220155449072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422543518720).

2220155449072 is an abundant number, since it is smaller than the sum of its proper divisors (2624931588368).

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

2220155449072 is a wasteful number, since it uses less digits than its factorization.

2220155449072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93422 (or 93416 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 2220155449072 in words is "two trillion, two hundred twenty billion, one hundred fifty-five million, four hundred forty-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 4583 5456 9166 18332 36664 50413 73328 88789 100826 142073 177578 201652 284146 355156 403304 568292 710312 806608 976679 1136584 1420624 1562803 1953358 2273168 2752459 3125606 3906716 5504918 6251212 7813432 11009836 12502424 15626864 22019672 25004848 30277049 44039344 60554098 121108196 242216392 406919987 484432784 813839974 1627679948 3255359896 4476119857 6510719792 8952239714 12614519597 17904479428 25229039194 35808958856 50458078388 71617917712 100916156776 138759715567 201832313552 277519431134 555038862268 1110077724536 2220155449072