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23302213120 = 29582111087
BaseRepresentation
bin10101101100111010…
…111000111000000000
32020010222020002001101
4111230322320320000
5340210331304440
614412131144144
71453310354254
oct255472707000
966128202041
1023302213120
11997854567a
124623a45054
1322748833b4
1411b0aba264
15915b0969a
hex56ceb8e00

23302213120 has 80 divisors (see below), whose sum is σ = 55943794368. Its totient is φ = 9308692480.

The previous prime is 23302213093. The next prime is 23302213133. The reversal of 23302213120 is 2131220332.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2096217 + ... + 2107303.

Almost surely, 223302213120 is an apocalyptic number.

23302213120 is a gapful number since it is divisible by the number (20) 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 23302213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27971897184).

23302213120 is an abundant number, since it is smaller than the sum of its proper divisors (32641581248).

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

23302213120 is an equidigital number, since it uses as much as digits as its factorization.

23302213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11931 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23302213120 its reverse (2131220332), we get a palindrome (25433433452).

The spelling of 23302213120 in words is "twenty-three billion, three hundred two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 821 1280 1642 2560 3284 4105 6568 8210 11087 13136 16420 22174 26272 32840 44348 52544 55435 65680 88696 105088 110870 131360 177392 210176 221740 262720 354784 420352 443480 525440 709568 886960 1050880 1419136 1773920 2101760 2838272 3547840 5676544 7095680 9102427 14191360 18204854 28382720 36409708 45512135 72819416 91024270 145638832 182048540 291277664 364097080 582555328 728194160 1165110656 1456388320 2330221312 2912776640 4660442624 5825553280 11651106560 23302213120