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4222145664 = 273211333187
BaseRepresentation
bin1111101110101000…
…1101010010000000
3101220020201020000100
43323222031102000
532121332130124
61534543122400
7206425434402
oct37352152200
911806636010
104222145664
111877322590
12999ba3400
13523960959
142c0a5cb72
1519aa061c9
hexfba8d480

4222145664 has 96 divisors (see below), whose sum is σ = 13254218640. Its totient is φ = 1279434240.

The previous prime is 4222145651. The next prime is 4222145677. The reversal of 4222145664 is 4665412224.

It is an interprime number because it is at equal distance from previous prime (4222145651) and next prime (4222145677).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153922 + ... + 179265.

Almost surely, 24222145664 is an apocalyptic number.

4222145664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4222145664 is an abundant number, since it is smaller than the sum of its proper divisors (9032072976).

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

4222145664 is a wasteful number, since it uses less digits than its factorization.

4222145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333218 (or 333203 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4222145664 is about 64978.0398596326. The cubic root of 4222145664 is about 1616.2594263765.

Adding to 4222145664 its reverse (4665412224), we get a palindrome (8887557888).

The spelling of 4222145664 in words is "four billion, two hundred twenty-two million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 333187 666374 999561 1332748 1999122 2665496 2998683 3665057 3998244 5330992 5997366 7330114 7996488 10661984 10995171 11994732 14660228 15992976 21323968 21990342 23989464 29320456 31985952 32985513 42647936 43980684 47978928 58640912 63971904 65971026 87961368 95957856 117281824 127943808 131942052 175922736 191915712 234563648 263884104 351845472 383831424 469127296 527768208 703690944 1055536416 1407381888 2111072832 4222145664