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22213052640 = 2532537094159
BaseRepresentation
bin10100101100000000…
…000100100011100000
32010100001202222202100
4110230000010203200
5330443020141030
614112102450400
71414313555262
oct245400044340
963301688670
1022213052640
119469764249
12437b133a00
13213002943c
14110a19db32
158a01b5360
hex52c0048e0

22213052640 has 144 divisors (see below), whose sum is σ = 75840710400. Its totient is φ = 5920459776.

The previous prime is 22213052639. The next prime is 22213052681. The reversal of 22213052640 is 4625031222.

It is a happy number.

22213052640 is a `hidden beast` number, since 2 + 2 + 2 + 13 + 0 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5338881 + ... + 5343039.

It is an arithmetic number, because the mean of its divisors is an integer number (526671600).

Almost surely, 222213052640 is an apocalyptic number.

22213052640 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 22213052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920355200).

22213052640 is an abundant number, since it is smaller than the sum of its proper divisors (53627657760).

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

22213052640 is a wasteful number, since it uses less digits than its factorization.

22213052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22213052640 its reverse (4625031222), we get a palindrome (26838083862).

The spelling of 22213052640 in words is "twenty-two billion, two hundred thirteen million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3709 4159 7418 8318 11127 12477 14836 16636 18545 20795 22254 24954 29672 33272 33381 37090 37431 41590 44508 49908 55635 59344 62385 66544 66762 74180 74862 83180 89016 99816 111270 118688 124770 133088 133524 148360 149724 166360 166905 178032 187155 199632 222540 249540 267048 296720 299448 332720 333810 356064 374310 399264 445080 499080 534096 593440 598896 665440 667620 748620 890160 998160 1068192 1197792 1335240 1497240 1780320 1996320 2670480 2994480 5340960 5988960 15425731 30851462 46277193 61702924 77128655 92554386 123405848 138831579 154257310 185108772 231385965 246811696 277663158 308514620 370217544 462771930 493623392 555326316 617029240 694157895 740435088 925543860 1110652632 1234058480 1388315790 1480870176 1851087720 2221305264 2468116960 2776631580 3702175440 4442610528 5553263160 7404350880 11106526320 22213052640