Search a number
-
+
122291484 = 22374333857
BaseRepresentation
bin1110100101000…
…00010100011100
322112010001101020
413102200110130
5222301311414
620045044140
73013313640
oct722402434
9275101336
10122291484
1163037447
1234b56650
131c449c33
1412354c20
15ab097a9
hex74a051c

122291484 has 48 divisors (see below), whose sum is σ = 333704448. Its totient is φ = 34126848.

The previous prime is 122291443. The next prime is 122291531. The reversal of 122291484 is 484192221.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13317 + ... + 20540.

It is an arithmetic number, because the mean of its divisors is an integer number (6952176).

Almost surely, 2122291484 is an apocalyptic number.

122291484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122291484 is an abundant number, since it is smaller than the sum of its proper divisors (211412964).

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

122291484 is a wasteful number, since it uses less digits than its factorization.

122291484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33914 (or 33912 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 122291484 is about 11058.5480059545. The cubic root of 122291484 is about 496.3622429668.

The spelling of 122291484 in words is "one hundred twenty-two million, two hundred ninety-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 33857 67714 101571 135428 203142 236999 406284 473998 710997 947996 1421994 1455851 2843988 2911702 4367553 5823404 8735106 10190957 17470212 20381914 30572871 40763828 61145742 122291484