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222120001120 = 2557125776081
BaseRepresentation
bin1100111011011101100…
…0100011111001100000
3210020022220222011120011
43032313120203321200
512114400210013440
6250012430254304
722022224600123
oct3166730437140
9706286864504
10222120001120
1186222a4a466
123706b657394
1317c3ac98734
14aa71b7c3ba
155ba03a89ea
hex33b7623e60

222120001120 has 96 divisors (see below), whose sum is σ = 534227109696. Its totient is φ = 87254630400.

The previous prime is 222120001111. The next prime is 222120001121. The reversal of 222120001120 is 21100021222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 222120001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881480 + ... + 2957560.

It is an arithmetic number, because the mean of its divisors is an integer number (5564865726).

Almost surely, 2222120001120 is an apocalyptic number.

222120001120 is a gapful number since it is divisible by the number (20) 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 222120001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267113554848).

222120001120 is an abundant number, since it is smaller than the sum of its proper divisors (312107108576).

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

222120001120 is a wasteful number, since it uses less digits than its factorization.

222120001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76424 (or 76416 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222120001120 its reverse (21100021222), we get a palindrome (243220022342).

The spelling of 222120001120 in words is "two hundred twenty-two billion, one hundred twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 257 284 355 514 568 710 1028 1136 1285 1420 2056 2272 2570 2840 4112 5140 5680 8224 10280 11360 18247 20560 36494 41120 72988 76081 91235 145976 152162 182470 291952 304324 364940 380405 583904 608648 729880 760810 1217296 1459760 1521620 2434592 2919520 3043240 5401751 6086480 10803502 12172960 19552817 21607004 27008755 39105634 43214008 54017510 78211268 86428016 97764085 108035020 156422536 172856032 195528170 216070040 312845072 391056340 432140080 625690144 782112680 864280160 1388250007 1564225360 2776500014 3128450720 5553000028 6941250035 11106000056 13882500070 22212000112 27765000140 44424000224 55530000280 111060000560 222120001120