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122213040 = 2435509221
BaseRepresentation
bin1110100100011…
…01001010110000
322111222001202220
413102031022300
5222241304130
620043241040
73012536145
oct722151260
9274861686
10122213040
1162a93514
1234b19180
131c420311
14123343cc
15aae1410
hex748d2b0

122213040 has 40 divisors (see below), whose sum is σ = 378861168. Its totient is φ = 32590080.

The previous prime is 122213033. The next prime is 122213057. The reversal of 122213040 is 40312221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 254371 + ... + 254850.

Almost surely, 2122213040 is an apocalyptic number.

122213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122213040 is an abundant number, since it is smaller than the sum of its proper divisors (256648128).

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

122213040 is a wasteful number, since it uses less digits than its factorization.

122213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509237 (or 509231 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122213040 is about 11055.0006784260. Note that the first 3 decimals coincide. The cubic root of 122213040 is about 496.2560895733.

Subtracting from 122213040 its sum of digits (15), we obtain a square (122213025 = 110552).

Adding to 122213040 its reverse (40312221), we get a palindrome (162525261).

The spelling of 122213040 in words is "one hundred twenty-two million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 509221 1018442 1527663 2036884 2546105 3055326 4073768 5092210 6110652 7638315 8147536 10184420 12221304 15276630 20368840 24442608 30553260 40737680 61106520 122213040