Search a number
-
+
2122234415145 = 335131237977567
BaseRepresentation
bin11110111000011111000…
…001110100100000101001
321111212212011110111211000
4132320133001310200221
5234232314002241040
64302535132425213
7306216642614235
oct36703701644051
97455764414730
102122234415145
11749042001099
122a3378018209
1312518363c880
1474a068715c5
153a30e1ec130
hex1ee1f074829

2122234415145 has 64 divisors (see below), whose sum is σ = 4066370058240. Its totient is φ = 1043946641664.

The previous prime is 2122234415143. The next prime is 2122234415153. The reversal of 2122234415145 is 5415144322212.

2122234415145 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 234 + 415 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 2122234415145 - 21 = 2122234415143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122234415143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682152 + ... + 2659718.

It is an arithmetic number, because the mean of its divisors is an integer number (63537032160).

Almost surely, 22122234415145 is an apocalyptic number.

It is an amenable number.

2122234415145 is a deficient number, since it is larger than the sum of its proper divisors (1944135643095).

2122234415145 is a wasteful number, since it uses less digits than its factorization.

2122234415145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978831 (or 978825 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 2122234415145 its reverse (5415144322212), we get a palindrome (7537378737357).

The spelling of 2122234415145 in words is "two trillion, one hundred twenty-two billion, two hundred thirty-four million, four hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1237 1755 3711 6185 11133 16081 18555 33399 48243 55665 80405 144729 166995 241215 434187 723645 977567 2170935 2932701 4887835 8798103 12708371 14663505 26394309 38125113 43990515 63541855 114375339 131971545 190625565 343126017 571876695 1209250379 1715630085 3627751137 6046251895 10883253411 15720254927 18138755685 32649760233 47160764781 54416267055 78601274635 141482294343 163248801165 235803823905 424446883029 707411471715 2122234415145