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20233342224 = 2432297961331
BaseRepresentation
bin10010110110000000…
…000100110100010000
31221020002121021121100
4102312000010310100
5312414213422344
613143422424400
71314254366634
oct226600046420
957202537540
1020233342224
118643215537
123b08132100
131ba5b37264
14d9d2a6dc4
157d64ae569
hex4b6004d10

20233342224 has 120 divisors (see below), whose sum is σ = 59320310400. Its totient is φ = 6429346560.

The previous prime is 20233342223. The next prime is 20233342243. The reversal of 20233342224 is 42224333202.

It is a happy number.

20233342224 is a `hidden beast` number, since 2 + 0 + 233 + 3 + 422 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (20233342223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299239 + ... + 360569.

It is an arithmetic number, because the mean of its divisors is an integer number (494335920).

Almost surely, 220233342224 is an apocalyptic number.

20233342224 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 20233342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29660155200).

20233342224 is an abundant number, since it is smaller than the sum of its proper divisors (39086968176).

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

20233342224 is a wasteful number, since it uses less digits than its factorization.

20233342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61453 (or 61444 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20233342224 its reverse (42224333202), we get a palindrome (62457675426).

The spelling of 20233342224 in words is "twenty billion, two hundred thirty-three million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 79 87 116 144 158 174 232 237 261 316 348 464 474 522 632 696 711 948 1044 1264 1392 1422 1896 2088 2291 2844 3792 4176 4582 5688 6873 9164 11376 13746 18328 20619 27492 36656 41238 54984 61331 82476 109968 122662 164952 183993 245324 329904 367986 490648 551979 735972 981296 1103958 1471944 1778599 2207916 2943888 3557198 4415832 4845149 5335797 7114396 8831664 9690298 10671594 14228792 14535447 16007391 19380596 21343188 28457584 29070894 32014782 38761192 42686376 43606341 58141788 64029564 77522384 85372752 87212682 116283576 128059128 140509321 174425364 232567152 256118256 281018642 348850728 421527963 562037284 697701456 843055926 1124074568 1264583889 1686111852 2248149136 2529167778 3372223704 5058335556 6744447408 10116671112 20233342224