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22245303040 = 285471971877
BaseRepresentation
bin10100101101111011…
…000110001100000000
32010102022110110222121
4110231323012030000
5331024244144130
614115214014024
71415154645622
oct245573061400
963368413877
1022245303040
119485991474
124389aa7314
13213690b80c
141110596c12
158a2e35d7a
hex52dec6300

22245303040 has 144 divisors (see below), whose sum is σ = 54723537792. Its totient is φ = 8659976192.

The previous prime is 22245303023. The next prime is 22245303053. The reversal of 22245303040 is 4030354222.

It is a junction number, because it is equal to n+sod(n) for n = 22245302996 and 22245303014.

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, 11850582 + ... + 11852458.

It is an arithmetic number, because the mean of its divisors is an integer number (380024568).

Almost surely, 222245303040 is an apocalyptic number.

22245303040 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 22245303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361768896).

22245303040 is an abundant number, since it is smaller than the sum of its proper divisors (32478234752).

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

22245303040 is a wasteful number, since it uses less digits than its factorization.

22245303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 22245303040 its reverse (4030354222), we get a palindrome (26275657262).

The spelling of 22245303040 in words is "twenty-two billion, two hundred forty-five million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 197 235 256 320 376 394 470 640 752 788 940 985 1280 1504 1576 1877 1880 1970 3008 3152 3754 3760 3940 6016 6304 7508 7520 7880 9259 9385 12032 12608 15016 15040 15760 18518 18770 25216 30032 30080 31520 37036 37540 46295 50432 60064 60160 63040 74072 75080 88219 92590 120128 126080 148144 150160 176438 185180 240256 252160 296288 300320 352876 369769 370360 441095 480512 592576 600640 705752 739538 740720 882190 1185152 1201280 1411504 1479076 1481440 1764380 1848845 2370304 2402560 2823008 2958152 2962880 3528760 3697690 5646016 5916304 5925760 7057520 7395380 11292032 11832608 11851520 14115040 14790760 17379143 22584064 23665216 28230080 29581520 34758286 47330432 56460160 59163040 69516572 86895715 94660864 112920320 118326080 139033144 173791430 236652160 278066288 347582860 473304320 556132576 695165720 1112265152 1390331440 2224530304 2780662880 4449060608 5561325760 11122651520 22245303040