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122050224 = 243219311439
BaseRepresentation
bin1110100011001…
…01011010110000
322111122210102200
413101211122300
5222221101344
620035543200
73011260362
oct721453260
9274583380
10122050224
116299215a
1234a5ab00
131c39418a
14122d0d32
15aaad069
hex74656b0

122050224 has 120 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 37272960.

The previous prime is 122050223. The next prime is 122050231. The reversal of 122050224 is 422050221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122050197 and 122050206.

It is not an unprimeable number, because it can be changed into a prime (122050223) by changing a digit.

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, 84097 + ... + 85535.

It is an arithmetic number, because the mean of its divisors is an integer number (3095040).

Almost surely, 2122050224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122050224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

122050224 is an abundant number, since it is smaller than the sum of its proper divisors (249354576).

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

122050224 is a wasteful number, since it uses less digits than its factorization.

122050224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122050224 is about 11047.6343169024. The cubic root of 122050224 is about 496.0356157221.

The spelling of 122050224 in words is "one hundred twenty-two million, fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1439 1488 1767 2232 2356 2736 2878 3534 4317 4464 4712 5301 5756 7068 8634 9424 10602 11512 12951 14136 17268 21204 23024 25902 27341 28272 34536 42408 44609 51804 54682 69072 82023 84816 89218 103608 109364 133827 164046 178436 207216 218728 246069 267654 328092 356872 401481 437456 492138 535308 656184 713744 802962 847571 984276 1070616 1312368 1605924 1695142 1968552 2141232 2542713 3211848 3390284 3937104 5085426 6423696 6780568 7628139 10170852 13561136 15256278 20341704 30512556 40683408 61025112 122050224