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22234002240 = 263561379679
BaseRepresentation
bin10100101101001111…
…111111001101000000
32010101112012100012110
4110231033333031000
5331013401032430
614114131455320
71414656620652
oct245517771500
963345170173
1022234002240
11947a572a6a
124386157540
132134482b58
14110cc946d2
158a1e527b0
hex52d3ff340

22234002240 has 112 divisors (see below), whose sum is σ = 71750407680. Its totient is φ = 5831854080.

The previous prime is 22234002233. The next prime is 22234002247. The reversal of 22234002240 is 4220043222.

It is an interprime number because it is at equal distance from previous prime (22234002233) and next prime (22234002247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234002247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131280 + ... + 248399.

It is an arithmetic number, because the mean of its divisors is an integer number (640628640).

Almost surely, 222234002240 is an apocalyptic number.

22234002240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22234002240 is an abundant number, since it is smaller than the sum of its proper divisors (49516405440).

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

22234002240 is a wasteful number, since it uses less digits than its factorization.

22234002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379760 (or 379750 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 22234002240 its reverse (4220043222), we get a palindrome (26454045462).

The spelling of 22234002240 in words is "twenty-two billion, two hundred thirty-four million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11712 14640 19520 29280 58560 379679 759358 1139037 1518716 1898395 2278074 3037432 3796790 4556148 5695185 6074864 7593580 9112296 11390370 12149728 15187160 18224592 22780740 23160419 24299456 30374320 36449184 45561480 46320838 60748640 69481257 72898368 91122960 92641676 115802095 121497280 138962514 182245920 185283352 231604190 277925028 347406285 364491840 370566704 463208380 555850056 694812570 741133408 926416760 1111700112 1389625140 1482266816 1852833520 2223400224 2779250280 3705667040 4446800448 5558500560 7411334080 11117001120 22234002240