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4022222424216 = 23319371371740119
BaseRepresentation
bin111010100001111111001…
…000111000100010011000
3112020112001121002211001220
4322201333020320202120
51011400002420033331
612315441121412040
7563411264332653
oct72417710704230
915215047084056
104022222424216
1113108a6776917
1254b64a19a020
132323a8a56689
14dc96885c89a
156e961dc2296
hex3a87f238898

4022222424216 has 128 divisors (see below), whose sum is σ = 10950227136000. Its totient is φ = 1226824952832.

The previous prime is 4022222424169. The next prime is 4022222424263. The reversal of 4022222424216 is 6124242222204.

It is an interprime number because it is at equal distance from previous prime (4022222424169) and next prime (4022222424263).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441405 + ... + 3181523.

It is an arithmetic number, because the mean of its divisors is an integer number (85548649500).

Almost surely, 24022222424216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022222424216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475113568000).

4022222424216 is an abundant number, since it is smaller than the sum of its proper divisors (6928004711784).

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

4022222424216 is a wasteful number, since it uses less digits than its factorization.

4022222424216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740321 (or 1740317 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 4022222424216 in words is "four trillion, twenty-two billion, two hundred twenty-two million, four hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 137 148 152 222 228 274 296 411 444 456 548 703 822 888 1096 1406 1644 2109 2603 2812 3288 4218 5069 5206 5624 7809 8436 10138 10412 15207 15618 16872 20276 20824 30414 31236 40552 60828 62472 96311 121656 192622 288933 385244 577866 770488 1155732 1740119 2311464 3480238 5220357 6960476 10440714 13920952 20881428 33062261 41762856 64384403 66124522 99186783 128768806 132249044 193153209 198373566 238396303 257537612 264498088 386306418 396747132 476792606 515075224 715188909 772612836 793494264 953585212 1223303657 1430377818 1545225672 1907170424 2446607314 2860755636 3669910971 4529529757 4893214628 5721511272 7339821942 8820663211 9059059514 9786429256 13588589271 14679643884 17641326422 18118119028 26461989633 27177178542 29359287768 35282652844 36236238056 52923979266 54354357084 70565305688 105847958532 108708714168 167592601009 211695917064 335185202018 502777803027 670370404036 1005555606054 1340740808072 2011111212108 4022222424216