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23221100320 = 2551121199437
BaseRepresentation
bin10101101000000101…
…011101111100100000
32012221022121010012121
4111220011131330200
5340024100202240
614400112434024
71451304044635
oct255005357440
965838533177
1023221100320
119936784400
124600848914
132260b23662
1411a400418c
1590d93604a
hex56815df20

23221100320 has 72 divisors (see below), whose sum is σ = 60300546012. Its totient is φ = 8444029440.

The previous prime is 23221100297. The next prime is 23221100323. The reversal of 23221100320 is 2300112232.

It can be written as a sum of positive squares in 2 ways, for example, as 21506809104 + 1714291216 = 146652^2 + 41404^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23221100294 and 23221100303.

It is not an unprimeable number, because it can be changed into a prime (23221100323) 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, 580359 + ... + 619078.

Almost surely, 223221100320 is an apocalyptic number.

23221100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23221100320 is an abundant number, since it is smaller than the sum of its proper divisors (37079445692).

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

23221100320 is a wasteful number, since it uses less digits than its factorization.

23221100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199474 (or 1199455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23221100320 its reverse (2300112232), we get a palindrome (25521212552).

The spelling of 23221100320 in words is "twenty-three billion, two hundred twenty-one million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 1199437 2398874 4797748 5997185 9595496 11994370 13193807 19190992 23988740 26387614 38381984 47977480 52775228 65969035 95954960 105550456 131938070 145131877 191909920 211100912 263876140 290263754 422201824 527752280 580527508 725659385 1055504560 1161055016 1451318770 2111009120 2322110032 2902637540 4644220064 5805275080 11610550160 23221100320