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122663424 = 293136143
BaseRepresentation
bin1110100111110…
…11001000000000
322112210221120210
413103323020000
5222400212144
620101034120
73016423212
oct723731000
9275727523
10122663424
1163270934
12350b5940
131c54a310
14124105b2
15ab7eab9
hex74fb200

122663424 has 80 divisors (see below), whose sum is σ = 351977472. Its totient is φ = 37736448.

The previous prime is 122663423. The next prime is 122663441. The reversal of 122663424 is 424366221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122663391 and 122663400.

It is not an unprimeable number, because it can be changed into a prime (122663423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16897 + ... + 23039.

Almost surely, 2122663424 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 122663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988736).

122663424 is an abundant number, since it is smaller than the sum of its proper divisors (229314048).

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

122663424 is an equidigital number, since it uses as much as digits as its factorization.

122663424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6177 (or 6161 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 122663424 is about 11075.3520937260. The cubic root of 122663424 is about 496.8649493319.

The spelling of 122663424 in words is "one hundred twenty-two million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6143 6656 9984 12286 18429 19968 24572 36858 49144 73716 79859 98288 147432 159718 196576 239577 294864 319436 393152 479154 589728 638872 786304 958308 1179456 1277744 1572608 1916616 2358912 2555488 3145216 3833232 4717824 5110976 7666464 9435648 10221952 15332928 20443904 30665856 40887808 61331712 122663424