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122235040 = 2554991531
BaseRepresentation
bin1110100100100…
…10100010100000
322112000011221201
413102102202200
5222243010130
620043530544
73012660244
oct722224240
9275004851
10122235040
1162aa8aa4
1234b29a54
131c42a335
141233c424
15aae7bca
hex74928a0

122235040 has 48 divisors (see below), whose sum is σ = 289548000. Its totient is φ = 48764160.

The previous prime is 122235031. The next prime is 122235059. The reversal of 122235040 is 40532221.

It is a junction number, because it is equal to n+sod(n) for n = 122234999 and 122235017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79075 + ... + 80605.

It is an arithmetic number, because the mean of its divisors is an integer number (6032250).

Almost surely, 2122235040 is an apocalyptic number.

122235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122235040 is an abundant number, since it is smaller than the sum of its proper divisors (167312960).

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

122235040 is a wasteful number, since it uses less digits than its factorization.

122235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 122235040 is about 11055.9956584651. The cubic root of 122235040 is about 496.2858653892.

Adding to 122235040 its reverse (40532221), we get a palindrome (162767261).

The spelling of 122235040 in words is "one hundred twenty-two million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 499 998 1531 1996 2495 3062 3992 4990 6124 7655 7984 9980 12248 15310 15968 19960 24496 30620 39920 48992 61240 79840 122480 244960 763969 1527938 3055876 3819845 6111752 7639690 12223504 15279380 24447008 30558760 61117520 122235040