Search a number
-
+
122152530 = 23541472113
BaseRepresentation
bin1110100011111…
…10011001010010
322111211222202210
413101332121102
5222232340110
620042052550
73012164553
oct721763122
9274758683
10122152530
1162a52005
1234aaa156
131c3cb906
141231a32a
15aacd520
hex747e652

122152530 has 64 divisors (see below), whose sum is σ = 306851328. Its totient is φ = 31088640.

The previous prime is 122152523. The next prime is 122152543. The reversal of 122152530 is 35251221.

It is a junction number, because it is equal to n+sod(n) for n = 122152497 and 122152506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56754 + ... + 58866.

It is an arithmetic number, because the mean of its divisors is an integer number (4794552).

Almost surely, 2122152530 is an apocalyptic number.

122152530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122152530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153425664).

122152530 is an abundant number, since it is smaller than the sum of its proper divisors (184698798).

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

122152530 is a wasteful number, since it uses less digits than its factorization.

122152530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 122152530 is about 11052.2635690613. The cubic root of 122152530 is about 496.1741741104.

The spelling of 122152530 in words is "one hundred twenty-two million, one hundred fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 47 82 94 123 141 205 235 246 282 410 470 615 705 1230 1410 1927 2113 3854 4226 5781 6339 9635 10565 11562 12678 19270 21130 28905 31695 57810 63390 86633 99311 173266 198622 259899 297933 433165 496555 519798 595866 866330 993110 1299495 1489665 2598990 2979330 4071751 8143502 12215253 20358755 24430506 40717510 61076265 122152530