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122972444 = 22723257743
BaseRepresentation
bin1110101010001…
…10100100011100
322120101122110222
413111012210130
5222440104234
620111420512
73022151150
oct725064434
9276348428
10122972444
1163462021
1235224738
131c627b7a
1412491060
15abe142e
hex754691c

122972444 has 48 divisors (see below), whose sum is σ = 257983488. Its totient is φ = 50147328.

The previous prime is 122972417. The next prime is 122972453. The reversal of 122972444 is 444279221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165137 + ... + 165879.

It is an arithmetic number, because the mean of its divisors is an integer number (5374656).

Almost surely, 2122972444 is an apocalyptic number.

122972444 is a gapful number since it is divisible by the number (14) 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 122972444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128991744).

122972444 is an abundant number, since it is smaller than the sum of its proper divisors (135011044).

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

122972444 is a wasteful number, since it uses less digits than its factorization.

122972444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 122972444 is about 11089.2941163989. The cubic root of 122972444 is about 497.2818420114.

It can be divided in two parts, 12297 and 2444, that added together give a palindrome (14741).

The spelling of 122972444 in words is "one hundred twenty-two million, nine hundred seventy-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 257 322 514 644 743 1028 1486 1799 2972 3598 5201 5911 7196 10402 11822 17089 20804 23644 34178 41377 68356 82754 119623 165508 190951 239246 381902 478492 763804 1336657 2673314 4391873 5346628 8783746 17567492 30743111 61486222 122972444