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23121288 = 2334311151
BaseRepresentation
bin101100000110…
…0110110001000
31121111200110000
41120030312020
521404340123
62143323000
7400346001
oct130146610
947450400
1023121288
1112062403
1278b0460
134a37048
1430dc1a8
15206ab43
hex160cd88

23121288 has 80 divisors (see below), whose sum is σ = 66908160. Its totient is φ = 7452000.

The previous prime is 23121283. The next prime is 23121331. The reversal of 23121288 is 88212132.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19513 + ... + 20663.

It is an arithmetic number, because the mean of its divisors is an integer number (836352).

Almost surely, 223121288 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 23121288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454080).

23121288 is an abundant number, since it is smaller than the sum of its proper divisors (43786872).

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

23121288 is a wasteful number, since it uses less digits than its factorization.

23121288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1187 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 23121288 is about 4808.4600445465. The cubic root of 23121288 is about 284.8857159515.

It can be divided in two parts, 23121 and 288, that added together give a square (23409 = 1532).

The spelling of 23121288 in words is "twenty-three million, one hundred twenty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1151 1674 2232 2302 2511 3348 3453 4604 5022 6696 6906 9208 10044 10359 13812 20088 20718 27624 31077 35681 41436 62154 71362 82872 93231 107043 124308 142724 186462 214086 248616 285448 321129 372924 428172 642258 745848 856344 963387 1284516 1926774 2569032 2890161 3853548 5780322 7707096 11560644 23121288