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122422272 = 210375693
BaseRepresentation
bin1110100110000…
…00010000000000
322112100200210020
413103000100000
5222320003042
620051533440
73014400150
oct723002000
9275320706
10122422272
1163116735
1234bba280
131c49461b
141238a760
15ab333ec
hex74c0400

122422272 has 88 divisors (see below), whose sum is σ = 372979776. Its totient is φ = 34971648.

The previous prime is 122422249. The next prime is 122422273. The reversal of 122422272 is 272224221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (122422273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18658 + ... + 24350.

Almost surely, 2122422272 is an apocalyptic number.

122422272 is a gapful number since it is divisible by the number (12) 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 122422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186489888).

122422272 is an abundant number, since it is smaller than the sum of its proper divisors (250557504).

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

122422272 is an equidigital number, since it uses as much as digits as its factorization.

122422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5705 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 122422272 is about 11064.4598602914. The cubic root of 122422272 is about 496.5391293527.

Adding to 122422272 its reverse (272224221), we get a palindrome (394646493).

The spelling of 122422272 in words is "one hundred twenty-two million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 5693 7168 10752 11386 17079 21504 22772 34158 39851 45544 68316 79702 91088 119553 136632 159404 182176 239106 273264 318808 364352 478212 546528 637616 728704 956424 1093056 1275232 1457408 1912848 2186112 2550464 2914816 3825696 4372224 5100928 5829632 7651392 8744448 10201856 15302784 17488896 20403712 30605568 40807424 61211136 122422272