Search a number
-
+
2220322503040 = 27547409118043
BaseRepresentation
bin100000010011110101100…
…010001011100110000000
321212021001002111122201021
4200103311202023212000
5242334210030044130
64420000240515224
7316261442611045
oct40236542134600
97767032448637
102220322503040
117866a7195344
122ba39161bb14
131314b6007775
147966da071cc
153cb5067437a
hex204f588b980

2220322503040 has 128 divisors (see below), whose sum is σ = 5422519365120. Its totient is φ = 868972001280.

The previous prime is 2220322503029. The next prime is 2220322503097. The reversal of 2220322503040 is 403052230222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2220322502996 and 2220322503014.

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, 123048259 + ... + 123066301.

It is an arithmetic number, because the mean of its divisors is an integer number (42363432540).

Almost surely, 22220322503040 is an apocalyptic number.

2220322503040 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 2220322503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711259682560).

2220322503040 is an abundant number, since it is smaller than the sum of its proper divisors (3202196862080).

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

2220322503040 is a wasteful number, since it uses less digits than its factorization.

2220322503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22200 (or 22188 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 2220322503040 its reverse (403052230222), we get a palindrome (2623374733262).

The spelling of 2220322503040 in words is "two trillion, two hundred twenty billion, three hundred twenty-two million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3760 4091 6016 7520 8182 15040 16364 18043 20455 30080 32728 36086 40910 65456 72172 81820 90215 130912 144344 163640 180430 192277 261824 288688 327280 360860 384554 523648 577376 654560 721720 769108 848021 961385 1154752 1309120 1443440 1538216 1696042 1922770 2309504 2618240 2886880 3076432 3392084 3845540 4240105 5773760 6152864 6784168 7691080 8480210 11547520 12305728 13568336 15382160 16960420 24611456 27136672 30764320 33920840 54273344 61528640 67841680 73813913 108546688 123057280 135683360 147627826 271366720 295255652 369069565 542733440 590511304 738139130 1181022608 1476278260 2362045216 2952556520 3469253911 4724090432 5905113040 6938507822 9448180864 11810226080 13877015644 17346269555 23620452160 27754031288 34692539110 47240904320 55508062576 69385078220 111016125152 138770156440 222032250304 277540312880 444064500608 555080625760 1110161251520 2220322503040