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122422464 = 2632257827
BaseRepresentation
bin1110100110000…
…00010011000000
322112100201001100
413103000103000
5222320004324
620051534400
73014400543
oct723002300
9275321040
10122422464
116311689a
1234bba400
131c494738
141238a85a
15ab334c9
hex74c04c0

122422464 has 84 divisors (see below), whose sum is σ = 352693224. Its totient is φ = 40599552.

The previous prime is 122422393. The next prime is 122422471. The reversal of 122422464 is 464224221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147619 + ... + 148445.

Almost surely, 2122422464 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 122422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176346612).

122422464 is an abundant number, since it is smaller than the sum of its proper divisors (230270760).

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

122422464 is a wasteful number, since it uses less digits than its factorization.

122422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1089 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 122422464 is about 11064.4685367170. The cubic root of 122422464 is about 496.5393889337.

Adding to 122422464 its reverse (464224221), we get a palindrome (586646685).

It can be divided in two parts, 12242 and 2464, that added together give a triangular number (14706 = T171).

The spelling of 122422464 in words is "one hundred twenty-two million, four hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 257 288 514 576 771 827 1028 1542 1654 2056 2313 2481 3084 3308 4112 4626 4962 6168 6616 7443 8224 9252 9924 12336 13232 14886 16448 18504 19848 24672 26464 29772 37008 39696 49344 52928 59544 74016 79392 119088 148032 158784 212539 238176 425078 476352 637617 850156 1275234 1700312 1912851 2550468 3400624 3825702 5100936 6801248 7651404 10201872 13602496 15302808 20403744 30605616 40807488 61211232 122422464