Search a number
-
+
122171140 = 225713193533
BaseRepresentation
bin1110100100000…
…10111100000100
322111212221022001
413102002330010
5222233434030
620042315044
73012303040
oct722027404
9274787261
10122171140
1162a64a93
1234ab8a84
131c407220
1412323020
15aad3cca
hex7482f04

122171140 has 96 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 36619776.

The previous prime is 122171117. The next prime is 122171141. The reversal of 122171140 is 41171221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (122171141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32814 + ... + 36346.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2122171140 is an apocalyptic number.

122171140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122171140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

122171140 is an abundant number, since it is smaller than the sum of its proper divisors (210307580).

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

122171140 is a wasteful number, since it uses less digits than its factorization.

122171140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 122171140 is about 11053.1054459821. The cubic root of 122171140 is about 496.1993702934.

It can be divided in two parts, 1221 and 71140, that added together give a square (72361 = 2692).

The spelling of 122171140 in words is "one hundred twenty-two million, one hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3458 3533 4940 6916 7066 8645 14132 17290 17665 24731 34580 35330 45929 49462 67127 70660 91858 98924 123655 134254 183716 229645 247310 268508 321503 335635 459290 469889 494620 643006 671270 872651 918580 939778 1286012 1342540 1607515 1745302 1879556 2349445 3215030 3490604 4363255 4698890 6108557 6430060 8726510 9397780 12217114 17453020 24434228 30542785 61085570 122171140