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23322364224 = 263295379031
BaseRepresentation
bin10101101110000111…
…110000100101000000
32020012101010212011120
4111232013300211000
5340231011123344
614414131112240
71453643552655
oct255607604500
966171125146
1023322364224
119988959485
12462a742680
132278aba523
1411b3643c2c
1591778a219
hex56e1f0940

23322364224 has 112 divisors (see below), whose sum is σ = 65040174720. Its totient is φ = 7364331520.

The previous prime is 23322364211. The next prime is 23322364267. The reversal of 23322364224 is 42246322332.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 255589 + ... + 334619.

Almost surely, 223322364224 is an apocalyptic number.

23322364224 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 23322364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32520087360).

23322364224 is an abundant number, since it is smaller than the sum of its proper divisors (41717810496).

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

23322364224 is a wasteful number, since it uses less digits than its factorization.

23322364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79128 (or 79118 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 23322364224 its reverse (42246322332), we get a palindrome (65568686556).

The spelling of 23322364224 in words is "twenty-three billion, three hundred twenty-two million, three hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 96 106 116 159 174 192 212 232 318 348 424 464 636 696 848 928 1272 1392 1537 1696 1856 2544 2784 3074 3392 4611 5088 5568 6148 9222 10176 12296 18444 24592 36888 49184 73776 79031 98368 147552 158062 237093 295104 316124 474186 632248 948372 1264496 1896744 2291899 2528992 3793488 4188643 4583798 5057984 6875697 7586976 8377286 9167596 12565929 13751394 15173952 16754572 18335192 25131858 27502788 33509144 36670384 50263716 55005576 67018288 73340768 100527432 110011152 121470647 134036576 146681536 201054864 220022304 242941294 268073152 364411941 402109728 440044608 485882588 728823882 804219456 971765176 1457647764 1943530352 2915295528 3887060704 5830591056 7774121408 11661182112 23322364224