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23211034224 = 2437247209971
BaseRepresentation
bin10101100111011111…
…000100011001110000
32012220121122201010020
4111213133010121300
5340014011043344
614355113003440
71451122351500
oct254737043160
965817581106
1023211034224
119931029614
1245b93b3580
13225ba0a9a1
1411a2943a00
1590cae8719
hex5677c4670

23211034224 has 120 divisors (see below), whose sum is σ = 71235940608. Its totient is φ = 6490592640.

The previous prime is 23211034207. The next prime is 23211034247. The reversal of 23211034224 is 42243011232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23211034194 and 23211034203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5559 + ... + 215529.

Almost surely, 223211034224 is an apocalyptic number.

23211034224 is a gapful number since it is divisible by the number (24) 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 23211034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35617970304).

23211034224 is an abundant number, since it is smaller than the sum of its proper divisors (48024906384).

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

23211034224 is a wasteful number, since it uses less digits than its factorization.

23211034224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210043 (or 210030 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23211034224 its reverse (42243011232), we get a palindrome (65454045456).

The spelling of 23211034224 in words is "twenty-three billion, two hundred eleven million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 49 56 84 94 98 112 141 147 168 188 196 282 294 329 336 376 392 564 588 658 752 784 987 1128 1176 1316 1974 2256 2303 2352 2632 3948 4606 5264 6909 7896 9212 13818 15792 18424 27636 36848 55272 110544 209971 419942 629913 839884 1259826 1469797 1679768 2519652 2939594 3359536 4409391 5039304 5879188 8818782 9868637 10078608 10288579 11758376 17637564 19737274 20577158 23516752 29605911 30865737 35275128 39474548 41154316 59211822 61731474 69080459 70550256 78949096 82308632 118423644 123462948 138160918 157898192 164617264 207241377 236847288 246925896 276321836 414482754 473694576 483563213 493851792 552643672 828965508 967126426 1105287344 1450689639 1657931016 1934252852 2901379278 3315862032 3868505704 5802758556 7737011408 11605517112 23211034224