Search a number
-
+
122522466 = 231137131383
BaseRepresentation
bin1110100110110…
…00101101100010
322112112210020010
413103120231202
5222331204331
620054025350
73015265233
oct723305542
9275483203
10122522466
1163184a40
1235048256
131c4cb101
14123b508a
15ab52e46
hex74d8b62

122522466 has 64 divisors (see below), whose sum is σ = 277364736. Its totient is φ = 35755200.

The previous prime is 122522461. The next prime is 122522471. The reversal of 122522466 is 664225221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122522461) and next prime (122522471).

It is not an unprimeable number, because it can be changed into a prime (122522461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319711 + ... + 320093.

It is an arithmetic number, because the mean of its divisors is an integer number (4333824).

Almost surely, 2122522466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122522466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138682368).

122522466 is an abundant number, since it is smaller than the sum of its proper divisors (154842270).

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

122522466 is a wasteful number, since it uses less digits than its factorization.

122522466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567.

The product of its digits is 11520, while the sum is 30.

The square root of 122522466 is about 11068.9866744883. The cubic root of 122522466 is about 496.6745531732.

Adding to 122522466 its reverse (664225221), we get a palindrome (786747687).

It can be divided in two parts, 12252246 and 6, that multiplied together give a square (73513476 = 85742).

The spelling of 122522466 in words is "one hundred twenty-two million, five hundred twenty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 131 222 262 383 393 407 766 786 814 1149 1221 1441 2298 2442 2882 4213 4323 4847 8426 8646 9694 12639 14171 14541 25278 28342 29082 42513 50173 53317 85026 100346 106634 150519 155881 159951 301038 311762 319902 467643 551903 935286 1103806 1655709 1856401 3311418 3712802 5569203 11138406 20420411 40840822 61261233 122522466