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122233728 = 273674751
BaseRepresentation
bin1110100100100…
…10001110000000
322112000010011010
413102102032000
5222242434403
620043520520
73012653361
oct722221600
9275003133
10122233728
1162aa8011
1234b29140
131c429866
141233bb68
15aae7603
hex7492380

122233728 has 64 divisors (see below), whose sum is σ = 329598720. Its totient is φ = 40128000.

The previous prime is 122233711. The next prime is 122233733. The reversal of 122233728 is 827332221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 122233695 and 122233704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23353 + ... + 28103.

It is an arithmetic number, because the mean of its divisors is an integer number (5149980).

Almost surely, 2122233728 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 122233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799360).

122233728 is an abundant number, since it is smaller than the sum of its proper divisors (207364992).

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

122233728 is an equidigital number, since it uses as much as digits as its factorization.

122233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4823 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 122233728 is about 11055.9363239845. The cubic root of 122233728 is about 496.2840897680.

Adding to 122233728 its reverse (827332221), we get a palindrome (949565949).

It can be divided in two parts, 12223 and 3728, that added together give a palindrome (15951).

The spelling of 122233728 in words is "one hundred twenty-two million, two hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 4288 4751 6432 8576 9502 12864 14253 19004 25728 28506 38008 57012 76016 114024 152032 228048 304064 318317 456096 608128 636634 912192 954951 1273268 1824384 1909902 2546536 3819804 5093072 7639608 10186144 15279216 20372288 30558432 40744576 61116864 122233728