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122626644 = 223717791087
BaseRepresentation
bin1110100111100…
…10001001010100
322112202002010120
413103302021110
5222343023034
620100151540
73016211040
oct723621124
9275662116
10122626644
1163246238
12350985b0
131c53665a
1412401020
15ab73c49
hex74f2254

122626644 has 96 divisors (see below), whose sum is σ = 350945280. Its totient is φ = 32527872.

The previous prime is 122626591. The next prime is 122626667. The reversal of 122626644 is 446626221.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 112269 + ... + 113355.

It is an arithmetic number, because the mean of its divisors is an integer number (3655680).

Almost surely, 2122626644 is an apocalyptic number.

122626644 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 122626644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175472640).

122626644 is an abundant number, since it is smaller than the sum of its proper divisors (228318636).

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

122626644 is a wasteful number, since it uses less digits than its factorization.

122626644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1195 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 122626644 is about 11073.6915254128. The cubic root of 122626644 is about 496.8152835634.

The spelling of 122626644 in words is "one hundred twenty-two million, six hundred twenty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 79 84 102 119 158 204 237 238 316 357 474 476 553 714 948 1087 1106 1343 1428 1659 2174 2212 2686 3261 3318 4029 4348 5372 6522 6636 7609 8058 9401 13044 15218 16116 18479 18802 22827 28203 30436 36958 37604 45654 55437 56406 73916 85873 91308 110874 112812 129353 171746 221748 257619 258706 343492 388059 515238 517412 601111 776118 1030476 1202222 1459841 1552236 1803333 2404444 2919682 3606666 4379523 5839364 7213332 8759046 10218887 17518092 20437774 30656661 40875548 61313322 122626644