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23211104 = 2572113131
BaseRepresentation
bin101100010001…
…0110001100000
31121200020122112
41120202301200
521420223404
62145254452
7401201600
oct130426140
947606575
1023211104
1112113934
127934428
134a68ba7
143122c00
15208756e
hex1622c60

23211104 has 72 divisors (see below), whose sum is σ = 54037368. Its totient is φ = 9784320.

The previous prime is 23211101. The next prime is 23211119. The reversal of 23211104 is 40111232.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177119 + ... + 177249.

It is an arithmetic number, because the mean of its divisors is an integer number (750519).

Almost surely, 223211104 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 23211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27018684).

23211104 is an abundant number, since it is smaller than the sum of its proper divisors (30826264).

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

23211104 is a wasteful number, since it uses less digits than its factorization.

23211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 23211104 is about 4817.7903648872. The cubic root of 23211104 is about 285.2541244213.

Adding to 23211104 its reverse (40111232), we get a palindrome (63322336).

The spelling of 23211104 in words is "twenty-three million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 113 131 196 224 226 262 392 452 524 784 791 904 917 1048 1568 1582 1808 1834 2096 3164 3616 3668 4192 5537 6328 6419 7336 11074 12656 12838 14672 14803 22148 25312 25676 29344 29606 44296 51352 59212 88592 102704 103621 118424 177184 205408 207242 236848 414484 473696 725347 828968 1450694 1657936 2901388 3315872 5802776 11605552 23211104