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222113000320 = 275734754131
BaseRepresentation
bin1100111011011011110…
…1110110101110000000
3210020022102210111021021
43032312331312232000
512114341412002240
6250012020235224
722022111231461
oct3166675665600
9706272714237
10222113000320
1186219aa8682
123706923bb14
1317c396b7053
14aa70c78d68
155b9e97454a
hex33b6f76b80

222113000320 has 64 divisors (see below), whose sum is σ = 538262825040. Its totient is φ = 87628124160.

The previous prime is 222113000297. The next prime is 222113000339. The reversal of 222113000320 is 23000311222.

222113000320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2221130003203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 222113000294 and 222113000303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2330346 + ... + 2423785.

Almost surely, 2222113000320 is an apocalyptic number.

222113000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222113000320 is an abundant number, since it is smaller than the sum of its proper divisors (316149824720).

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

222113000320 is an equidigital number, since it uses as much as digits as its factorization.

222113000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754223 (or 4754211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 222113000320 its reverse (23000311222), we get a palindrome (245113311542).

The spelling of 222113000320 in words is "two hundred twenty-two billion, one hundred thirteen million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1460 2336 2920 4672 5840 9344 11680 23360 46720 4754131 9508262 19016524 23770655 38033048 47541310 76066096 95082620 152132192 190165240 304264384 347051563 380330480 608528768 694103126 760660960 1388206252 1521321920 1735257815 2776412504 3042643840 3470515630 5552825008 6941031260 11105650016 13882062520 22211300032 27764125040 44422600064 55528250080 111056500160 222113000320