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122226440 = 2357436523
BaseRepresentation
bin1110100100100…
…00011100001000
322111222202011012
413102100130020
5222242221230
620043423052
73012623210
oct722203410
9274882135
10122226440
1162aa2596
1234b24a88
131c42644b
1412339240
15aae5395
hex7490708

122226440 has 32 divisors (see below), whose sum is σ = 314297280. Its totient is φ = 41906112.

The previous prime is 122226437. The next prime is 122226457. The reversal of 122226440 is 44622221.

It is a super-3 number, since 3×1222264403 (a number of 25 digits) contains 333 as substring.

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, 217982 + ... + 218541.

It is an arithmetic number, because the mean of its divisors is an integer number (9821790).

Almost surely, 2122226440 is an apocalyptic number.

122226440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122226440 is an abundant number, since it is smaller than the sum of its proper divisors (192070840).

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

122226440 is a wasteful number, since it uses less digits than its factorization.

122226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436541 (or 436537 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 122226440 is about 11055.6067223830. The cubic root of 122226440 is about 496.2742261774.

Adding to 122226440 its reverse (44622221), we get a palindrome (166848661).

The spelling of 122226440 in words is "one hundred twenty-two million, two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 436523 873046 1746092 2182615 3055661 3492184 4365230 6111322 8730460 12222644 15278305 17460920 24445288 30556610 61113220 122226440