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22103016144 = 24311891014657
BaseRepresentation
bin10100100101011100…
…010100001011010000
32010001101201120001120
4110211130110023100
5330231333004034
614053132202240
71411506352206
oct244534241320
963041646046
1022103016144
1194126381a0
12434a309380
1321132b05a1
1410d9719076
158956cbc49
hex5257142d0

22103016144 has 160 divisors (see below), whose sum is σ = 63627534720. Its totient is φ = 6555648000.

The previous prime is 22103016113. The next prime is 22103016149. The reversal of 22103016144 is 44161030122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103016149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4743864 + ... + 4748520.

It is an arithmetic number, because the mean of its divisors is an integer number (397672092).

Almost surely, 222103016144 is an apocalyptic number.

22103016144 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 22103016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31813767360).

22103016144 is an abundant number, since it is smaller than the sum of its proper divisors (41524518576).

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

22103016144 is a wasteful number, since it uses less digits than its factorization.

22103016144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22103016144 its reverse (44161030122), we get a palindrome (66264046266).

The spelling of 22103016144 in words is "twenty-two billion, one hundred three million, sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 101 132 176 178 202 264 267 303 356 404 528 534 606 712 808 979 1068 1111 1212 1424 1616 1958 2136 2222 2424 2937 3333 3916 4272 4444 4657 4848 5874 6666 7832 8888 8989 9314 11748 13332 13971 15664 17776 17978 18628 23496 26664 26967 27942 35956 37256 46992 51227 53328 53934 55884 71912 74512 98879 102454 107868 111768 143824 153681 197758 204908 215736 223536 296637 307362 395516 409816 414473 431472 470357 593274 614724 791032 819632 828946 940714 1186548 1229448 1243419 1411071 1582064 1657892 1881428 2373096 2458896 2486838 2822142 3315784 3762856 4559203 4746192 4973676 5173927 5644284 6631568 7525712 9118406 9947352 10347854 11288568 13677609 15521781 18236812 19894704 20695708 22577136 27355218 31043562 36473624 41391416 41861773 54710436 62087124 72947248 82782832 83723546 109420872 124174248 125585319 167447092 218841744 248348496 251170638 334894184 460479503 502341276 669788368 920959006 1004682552 1381438509 1841918012 2009365104 2762877018 3683836024 5525754036 7367672048 11051508072 22103016144