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22664153040 = 2435194970209
BaseRepresentation
bin10101000110111000…
…111000011111010000
32011111111121021011120
4111012320320133100
5332404010344130
614224535242240
71431432056634
oct250670703720
964444537146
1022664153040
1196803616a1
124486219380
1321a261cc59
141150066dc4
158c9abe910
hex546e387d0

22664153040 has 80 divisors (see below), whose sum is σ = 73956724800. Its totient is φ = 5725679616.

The previous prime is 22664153023. The next prime is 22664153107. The reversal of 22664153040 is 4035146622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22664152992 and 22664153010.

It is a congruent number.

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, 2480545 + ... + 2489664.

It is an arithmetic number, because the mean of its divisors is an integer number (924459060).

Almost surely, 222664153040 is an apocalyptic number.

22664153040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22664153040 is an abundant number, since it is smaller than the sum of its proper divisors (51292571760).

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

22664153040 is a wasteful number, since it uses less digits than its factorization.

22664153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970244 (or 4970238 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 22664153040 its reverse (4035146622), we get a palindrome (26699299662).

The spelling of 22664153040 in words is "twenty-two billion, six hundred sixty-four million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 4970209 9940418 14910627 19880836 24851045 29821254 39761672 49702090 59642508 74553135 79523344 94433971 99404180 119285016 149106270 188867942 198808360 238570032 283301913 298212540 377735884 397616720 472169855 566603826 596425080 755471768 944339710 1133207652 1192850160 1416509565 1510943536 1888679420 2266415304 2833019130 3777358840 4532830608 5666038260 7554717680 11332076520 22664153040