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23215132224 = 2633113118891
BaseRepresentation
bin10101100111101110…
…101100111001000000
32012220220100220112000
4111213232230321000
5340021033212344
614355340504000
71451202240144
oct254756547100
965826326460
1023215132224
119933378499
1245ba84b000
13225c81403b
1411a32cd224
1590d157a69
hex567bace40

23215132224 has 112 divisors (see below), whose sum is σ = 68852735040. Its totient is φ = 7669831680.

The previous prime is 23215132183. The next prime is 23215132243. The reversal of 23215132224 is 42223151232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135819 + ... + 254709.

Almost surely, 223215132224 is an apocalyptic number.

23215132224 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 23215132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34426367520).

23215132224 is an abundant number, since it is smaller than the sum of its proper divisors (45637602816).

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

23215132224 is a wasteful number, since it uses less digits than its factorization.

23215132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119025 (or 119009 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 23215132224 its reverse (42223151232), we get a palindrome (65438283456).

The spelling of 23215132224 in words is "twenty-three billion, two hundred fifteen million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 144 192 216 226 288 339 432 452 576 678 864 904 1017 1356 1728 1808 2034 2712 3051 3616 4068 5424 6102 7232 8136 10848 12204 16272 21696 24408 32544 48816 65088 97632 118891 195264 237782 356673 475564 713346 951128 1070019 1426692 1902256 2140038 2853384 3210057 3804512 4280076 5706768 6420114 7609024 8560152 11413536 12840228 13434683 17120304 22827072 25680456 26869366 34240608 40304049 51360912 53738732 68481216 80608098 102721824 107477464 120912147 161216196 205443648 214954928 241824294 322432392 362736441 429909856 483648588 644864784 725472882 859819712 967297176 1289729568 1450945764 1934594352 2579459136 2901891528 3869188704 5803783056 7738377408 11607566112 23215132224