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4222002224 = 24111741127271
BaseRepresentation
bin1111101110100110…
…1010010000110000
3101220020102221020202
43323221222100300
532121313032344
61534540054332
7206424266246
oct37351522060
911806387222
104222002224
111877234840
12999b343a8
1352391058b
142c0a22796
1519a9c894e
hexfba6a430

4222002224 has 160 divisors (see below), whose sum is σ = 9791373312. Its totient is φ = 1741824000.

The previous prime is 4222002221. The next prime is 4222002233.

4222002224 is nontrivially palindromic in base 10.

4222002224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4222002196 and 4222002205.

It is not an unprimeable number, because it can be changed into a prime (4222002221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15579209 + ... + 15579479.

Almost surely, 24222002224 is an apocalyptic number.

4222002224 is a gapful number since it is divisible by the number (44) 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 4222002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895686656).

4222002224 is an abundant number, since it is smaller than the sum of its proper divisors (5569371088).

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

4222002224 is a wasteful number, since it uses less digits than its factorization.

4222002224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4222002224 is about 64976.9360927399. The cubic root of 4222002224 is about 1616.2411229753.

It can be divided in two parts, 422200 and 2224, that added together give a palindrome (424424).

The spelling of 4222002224 in words is "four billion, two hundred twenty-two million, two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 41 44 68 82 88 127 136 164 176 187 254 271 272 328 374 451 508 542 656 697 748 902 1016 1084 1394 1397 1496 1804 2032 2159 2168 2788 2794 2981 2992 3608 4318 4336 4607 5207 5576 5588 5962 7216 7667 8636 9214 10414 11111 11152 11176 11924 15334 17272 18428 20828 22222 22352 23749 23848 30668 34417 34544 36856 41656 44444 47498 47696 50677 57277 61336 68834 73712 83312 88519 88888 94996 101354 114554 122221 122672 137668 177038 177776 188887 189992 202708 229108 244442 275336 354076 377774 378587 379984 405416 458216 488884 550672 585089 708152 755548 757174 810832 916432 973709 977768 1170178 1411097 1416304 1511096 1514348 1947418 1955536 2077757 2340356 2822194 3022192 3028696 3894836 4155514 4680712 5644388 6057392 6435979 7789672 8311028 9361424 11288776 12871958 15522067 15579344 16622056 22577552 23988649 25743916 31044134 33244112 47977298 51487832 62088268 95954596 102975664 124176536 191909192 248353072 263875139 383818384 527750278 1055500556 2111001112 4222002224