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122248368 = 243211711087
BaseRepresentation
bin1110100100101…
…01110010110000
322112000212020100
413102111302300
5222243421433
620044112400
73013044144
oct722256260
9275025210
10122248368
1163008010
1234b35700
131c433418
1412343224
15aaebb13
hex7495cb0

122248368 has 120 divisors (see below), whose sum is σ = 378832896. Its totient is φ = 36489600.

The previous prime is 122248351. The next prime is 122248387. The reversal of 122248368 is 863842221.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 111921 + ... + 113007.

Almost surely, 2122248368 is an apocalyptic number.

122248368 is a gapful number since it is divisible by the number (18) 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 122248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189416448).

122248368 is an abundant number, since it is smaller than the sum of its proper divisors (256584528).

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

122248368 is a wasteful number, since it uses less digits than its factorization.

122248368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1174 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 122248368 is about 11056.5983919106. The cubic root of 122248368 is about 496.3039023820.

The spelling of 122248368 in words is "one hundred twenty-two million, two hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 781 792 852 1087 1136 1278 1562 1584 1704 2174 2343 2556 3124 3261 3408 4348 4686 5112 6248 6522 7029 8696 9372 9783 10224 11957 12496 13044 14058 17392 18744 19566 23914 26088 28116 35871 37488 39132 47828 52176 56232 71742 77177 78264 95656 107613 112464 143484 154354 156528 191312 215226 231531 286968 308708 430452 463062 573936 617416 694593 848947 860904 926124 1234832 1389186 1697894 1721808 1852248 2546841 2778372 3395788 3704496 5093682 5556744 6791576 7640523 10187364 11113488 13583152 15281046 20374728 30562092 40749456 61124184 122248368