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22695227040 = 2535149317327
BaseRepresentation
bin10101001000101111…
…011010111010100000
32011120200001222200110
4111020233122322200
5332434434231130
614232005251320
71432260150453
oct251057327240
964520058613
1022695227040
119696955a92
124494703b40
1321a8baca35
14115423549a
158cc6abab0
hex548bdaea0

22695227040 has 96 divisors (see below), whose sum is σ = 71969990400. Its totient is φ = 6011423744.

The previous prime is 22695227029. The next prime is 22695227101. The reversal of 22695227040 is 4072259622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 22695227040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87144 + ... + 230183.

It is an arithmetic number, because the mean of its divisors is an integer number (749687400).

Almost surely, 222695227040 is an apocalyptic number.

22695227040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22695227040 is an abundant number, since it is smaller than the sum of its proper divisors (49274763360).

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

22695227040 is a wasteful number, since it uses less digits than its factorization.

22695227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317494 (or 317486 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 22695227040 in words is "twenty-two billion, six hundred ninety-five million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 240 298 447 480 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 11920 14304 17880 23840 35760 71520 317327 634654 951981 1269308 1586635 1903962 2538616 3173270 3807924 4759905 5077232 6346540 7615848 9519810 10154464 12693080 15231696 19039620 25386160 30463392 38079240 47281723 50772320 76158480 94563446 141845169 152316960 189126892 236408615 283690338 378253784 472817230 567380676 709225845 756507568 945634460 1134761352 1418451690 1513015136 1891268920 2269522704 2836903380 3782537840 4539045408 5673806760 7565075680 11347613520 22695227040