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2215040130 = 2325532331993
BaseRepresentation
bin1000010000000110…
…1101010010000010
312201100222200211100
42010001231102002
514014022241010
61003443555230
7105614346642
oct20401552202
95640880740
102215040130
11a37372486
1251998bb16
13293b99344
14170274522
15ce6dd2c0
hex8406d482

2215040130 has 96 divisors (see below), whose sum is σ = 5895907056. Its totient is φ = 576755712.

The previous prime is 2215040057. The next prime is 2215040131. The reversal of 2215040130 is 310405122.

It can be written as a sum of positive squares in 8 ways, for example, as 1118701809 + 1096338321 = 33447^2 + 33111^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2215040131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110414 + ... + 1112406.

Almost surely, 22215040130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2215040130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947953528).

2215040130 is an abundant number, since it is smaller than the sum of its proper divisors (3680866926).

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

2215040130 is a wasteful number, since it uses less digits than its factorization.

2215040130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2215040130 is about 47064.2128373566. The cubic root of 2215040130 is about 1303.5485161041.

Adding to 2215040130 its reverse (310405122), we get a palindrome (2525445252).

The spelling of 2215040130 in words is "two billion, two hundred fifteen million, forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 233 265 318 466 477 530 699 795 954 1165 1398 1590 1993 2097 2330 2385 3495 3986 4194 4770 5979 6990 9965 10485 11958 12349 17937 19930 20970 24698 29895 35874 37047 59790 61745 74094 89685 105629 111141 123490 179370 185235 211258 222282 316887 370470 464369 528145 555705 633774 928738 950661 1056290 1111410 1393107 1584435 1901322 2321845 2786214 3168870 4179321 4643690 4753305 6965535 8358642 9506610 13931070 20896605 24611557 41793210 49223114 73834671 123057785 147669342 221504013 246115570 369173355 443008026 738346710 1107520065 2215040130