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2220353524240 = 245831181328307
BaseRepresentation
bin100000010011110111011…
…000100001001000010000
321212021010020212200210121
4200103313120201020100
5242334241000233430
64420003305440024
7316262300361625
oct40236730411020
97767106780717
102220353524240
11786712752aa5
122ba39baa0014
131314bc5794c7
1479673ba034c
153cb53250a7a
hex204f7621210

2220353524240 has 80 divisors (see below), whose sum is σ = 5225145444288. Its totient is φ = 877335638528.

The previous prime is 2220353524231. The next prime is 2220353524261. The reversal of 2220353524240 is 424253530222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2220353524196 and 2220353524205.

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, 78424167 + ... + 78452473.

Almost surely, 22220353524240 is an apocalyptic number.

2220353524240 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 2220353524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612572722144).

2220353524240 is an abundant number, since it is smaller than the sum of its proper divisors (3004791920048).

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

2220353524240 is a wasteful number, since it uses less digits than its factorization.

2220353524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40216 (or 40210 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

The spelling of 2220353524240 in words is "two trillion, two hundred twenty billion, three hundred fifty-three million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 11813 23626 28307 47252 56614 59065 94504 113228 118130 141535 189008 226456 236260 283070 452912 472520 566140 945040 980479 1132280 1960958 2264560 2349481 3921916 4698962 4902395 7843832 9397924 9804790 11747405 15687664 18795848 19609580 23494810 37591696 39219160 46989620 78438320 93979240 187958480 334390591 668781182 1337562364 1671952955 2675124728 3343905910 5350249456 6687811820 13375623640 26751247280 27754419053 55508838106 111017676212 138772095265 222035352424 277544190530 444070704848 555088381060 1110176762120 2220353524240