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22220011120 = 2452329416417
BaseRepresentation
bin10100101100011010…
…100111011001110000
32010100112212111222211
4110230122213121300
5331001310323440
614112511541504
71414426656346
oct245432473160
963315774884
1022220011120
11947268725a
12438152a894
1321315c4798
14110b091996
158a0adbeea
hex52c6a7670

22220011120 has 80 divisors (see below), whose sum is σ = 55766698560. Its totient is φ = 8208392192.

The previous prime is 22220011069. The next prime is 22220011141. The reversal of 22220011120 is 2111002222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 22220011120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154849 + ... + 261568.

It is an arithmetic number, because the mean of its divisors is an integer number (697083732).

Almost surely, 222220011120 is an apocalyptic number.

22220011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22220011120 is an abundant number, since it is smaller than the sum of its proper divisors (33546687440).

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

22220011120 is a wasteful number, since it uses less digits than its factorization.

22220011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416482 (or 416476 counting only the distinct ones).

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

Adding to 22220011120 its reverse (2111002222), we get a palindrome (24331013342).

The spelling of 22220011120 in words is "twenty-two billion, two hundred twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 580 667 920 1160 1334 1840 2320 2668 3335 5336 6670 10672 13340 26680 53360 416417 832834 1665668 2082085 3331336 4164170 6662672 8328340 9577591 12076093 16656680 19155182 24152186 33313360 38310364 47887955 48304372 60380465 76620728 95775910 96608744 120760930 153241456 191551820 193217488 241521860 277750139 383103640 483043720 555500278 766207280 966087440 1111000556 1388750695 2222001112 2777501390 4444002224 5555002780 11110005560 22220011120