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222111121433140 = 225315411697390211
BaseRepresentation
bin110010100000001001000110…
…011111100110001000110100
31002010102121121221112002122001
4302200021012133212020310
5213103032034041330030
62104220235054345044
764532666434416352
oct6240110637461064
91063377557462561
10222111121433140
1164853885695625
1220ab27591bb184
1396c1cb174a384
143cbc3428327d2
151aa29476b6cca
hexca02467e6234

222111121433140 has 96 divisors (see below), whose sum is σ = 482655058357248. Its totient is φ = 85768782336000.

The previous prime is 222111121433129. The next prime is 222111121433167. The reversal of 222111121433140 is 41334121111222.

It is a junction number, because it is equal to n+sod(n) for n = 222111121433099 and 222111121433108.

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, 569012635 + ... + 569402845.

It is an arithmetic number, because the mean of its divisors is an integer number (5027656857888).

Almost surely, 2222111121433140 is an apocalyptic number.

222111121433140 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 222111121433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241327529178624).

222111121433140 is an abundant number, since it is smaller than the sum of its proper divisors (260543936924108).

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

222111121433140 is a wasteful number, since it uses less digits than its factorization.

222111121433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392489 (or 392487 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 222111121433140 its reverse (41334121111222), we get a palindrome (263445242544362).

The spelling of 222111121433140 in words is "two hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 541 620 1082 1697 2164 2705 3394 5410 6788 8485 10820 16771 16970 33542 33940 52607 67084 83855 105214 167710 210428 263035 335420 390211 526070 780422 918077 1052140 1560844 1836154 1951055 3672308 3902110 4590385 7804220 9180770 12096541 18361540 24193082 28460387 48386164 56920774 60482705 113841548 120965410 142301935 211104151 241930820 284603870 422208302 569207740 662188067 844416604 1055520755 1324376134 2111041510 2648752268 3310940335 4222083020 6544228681 6621880670 13088457362 13243761340 20527830077 26176914724 32721143405 41055660154 65442286810 82111320308 102639150385 130884573620 205278300770 358243744247 410556601540 716487488494 1432974976988 1791218721235 3582437442470 7164874884940 11105556071657 22211112143314 44422224286628 55527780358285 111055560716570 222111121433140