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245114222130 = 232513925397717
BaseRepresentation
bin1110010001000111110…
…0100011011000110010
3212102200102122121212100
43210101330203120302
513003443220102010
6304334240241230
723465105340261
oct3442174433062
9772612577770
10245114222130
1194a52651aa8
123b608310216
131a163ab337b
14bc139a45d8
156598e262c0
hex3911f23632

245114222130 has 96 divisors (see below), whose sum is σ = 642217867200. Its totient is φ = 64859584896.

The previous prime is 245114222083. The next prime is 245114222137. The reversal of 245114222130 is 31222411542.

245114222130 is a `hidden beast` number, since 24 + 5 + 1 + 1 + 422 + 213 + 0 = 666.

245114222130 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245114222094 and 245114222103.

It is not an unprimeable number, because it can be changed into a prime (245114222137) 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, 31759032 + ... + 31766748.

It is an arithmetic number, because the mean of its divisors is an integer number (6689769450).

Almost surely, 2245114222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245114222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321108933600).

245114222130 is an abundant number, since it is smaller than the sum of its proper divisors (397103645070).

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

245114222130 is a wasteful number, since it uses less digits than its factorization.

245114222130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 245114222130 its reverse (31222411542), we get a palindrome (276336633672).

The spelling of 245114222130 in words is "two hundred forty-five billion, one hundred fourteen million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 2539 4170 5078 6255 7617 7717 12510 12695 15234 15434 22851 23151 25390 38085 38585 45702 46302 69453 76170 77170 114255 115755 138906 228510 231510 347265 352921 694530 705842 1058763 1072663 1764605 2117526 2145326 3176289 3217989 3529210 5293815 5363315 6352578 6435978 9653967 10587630 10726630 15881445 16089945 19307934 19593463 31762890 32179890 39186926 48269835 58780389 96539670 97967315 117560778 176341167 195934630 293901945 352682334 587803890 881705835 1763411670 2723491357 5446982714 8170474071 13617456785 16340948142 24511422213 27234913570 40852370355 49022844426 81704740710 122557111065 245114222130