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4222144224 = 253323212467
BaseRepresentation
bin1111101110101000…
…1100111011100000
3101220020201011001000
43323222030323200
532121332103344
61534543112000
7206425430244
oct37352147340
911806634030
104222144224
1118773214a1
12999ba2600
135239600bc
142c0a5c424
1519aa05a69
hexfba8cee0

4222144224 has 96 divisors (see below), whose sum is σ = 12850064640. Its totient is φ = 1346184576.

The previous prime is 4222144217. The next prime is 4222144237. The reversal of 4222144224 is 4224412224.

4222144224 is a `hidden beast` number, since 4 + 22 + 214 + 422 + 4 = 666.

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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86362 + ... + 126105.

It is an arithmetic number, because the mean of its divisors is an integer number (133854840).

Almost surely, 24222144224 is an apocalyptic number.

It is an amenable number.

4222144224 is an abundant number, since it is smaller than the sum of its proper divisors (8627920416).

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

4222144224 is a wasteful number, since it uses less digits than its factorization.

4222144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212509 (or 212495 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 4222144224 is about 64978.0287789650. The cubic root of 4222144224 is about 1616.2592426299.

Adding to 4222144224 its reverse (4224412224), we get a palindrome (8446556448).

The spelling of 4222144224 in words is "four billion, two hundred twenty-two million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 212467 424934 637401 849868 1274802 1699736 1912203 2549604 3399472 3824406 4886741 5099208 5736609 6798944 7648812 9773482 10198416 11473218 14660223 15297624 19546964 20396832 22946436 29320446 30595248 39093928 43980669 45892872 58640892 61190496 78187856 87961338 91785744 117281784 131942007 156375712 175922676 183571488 234563568 263884014 351845352 469127136 527768028 703690704 1055536056 1407381408 2111072112 4222144224