Search a number
-
+
122890215 = 3575983239
BaseRepresentation
bin1110101001100…
…10011111100111
322120020110200110
413110302133213
5222424441330
620105544103
73021356340
oct724623747
9276213613
10122890215
1163406268
12351a5033
131c5c9606
141246d0c7
15abc6db0
hex75327e7

122890215 has 64 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 54332544.

The previous prime is 122890213. The next prime is 122890217. The reversal of 122890215 is 512098221.

It is an interprime number because it is at equal distance from previous prime (122890213) and next prime (122890217).

It is not a de Polignac number, because 122890215 - 21 = 122890213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122890213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514066 + ... + 514304.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2122890215 is an apocalyptic number.

122890215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122890215 is a deficient number, since it is larger than the sum of its proper divisors (109352985).

122890215 is a wasteful number, since it uses less digits than its factorization.

122890215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 122890215 is about 11085.5859114437. The cubic root of 122890215 is about 497.1709767775.

The spelling of 122890215 in words is "one hundred twenty-two million, eight hundred ninety thousand, two hundred fifteen".

Divisors: 1 3 5 7 15 21 35 59 83 105 177 239 249 295 413 415 581 717 885 1195 1239 1245 1673 1743 2065 2905 3585 4897 5019 6195 8365 8715 14101 14691 19837 24485 25095 34279 42303 59511 70505 73455 98707 99185 102837 138859 171395 211515 296121 297555 416577 493535 514185 694295 1170383 1480605 2082885 3511149 5851915 8192681 17555745 24578043 40963405 122890215