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122542336 = 28729769
BaseRepresentation
bin1110100110111…
…01100100000000
322112120210111001
413103131210000
5222332323321
620054301344
73015410200
oct723354400
9275523431
10122542336
1163198964
1235057854
131c507177
14123bc400
15ab58c91
hex74dd900

122542336 has 54 divisors (see below), whose sum is σ = 284570790. Its totient is φ = 52512768.

The previous prime is 122542327. The next prime is 122542337. The reversal of 122542336 is 633245221.

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 25401600 = 9856^2 + 5040^2 .

It is a super-2 number, since 2×1225423362 = 30033248224673792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (122542337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7660 + ... + 17428.

Almost surely, 2122542336 is an apocalyptic number.

122542336 is a gapful number since it is divisible by the number (16) 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 122542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142285395).

122542336 is an abundant number, since it is smaller than the sum of its proper divisors (162028454).

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

122542336 is an frugal number, since it uses more digits than its factorization.

122542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9778 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 122542336 is about 11069.8841909028. The cubic root of 122542336 is about 496.7014010111.

Adding to 122542336 its reverse (633245221), we get a palindrome (755787557).

The spelling of 122542336 in words is "one hundred twenty-two million, five hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 9769 12544 19538 39076 68383 78152 136766 156304 273532 312608 478681 547064 625216 957362 1094128 1250432 1914724 2188256 2500864 3829448 4376512 7658896 8753024 15317792 17506048 30635584 61271168 122542336