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222012220120 = 235173110531889
BaseRepresentation
bin1100111011000011110…
…1011010001011011000
3210020001102011022211021
43032300331122023120
512114140112020440
6245554020212224
722016445506605
oct3166075321330
9706042138737
10222012220120
1186178123a59
123703b53a074
1317c2185c3b2
14aa617236ac
155b95bb884a
hex33b0f5a2d8

222012220120 has 64 divisors (see below), whose sum is σ = 545973177600. Its totient is φ = 80884899840.

The previous prime is 222012220057. The next prime is 222012220127. The reversal of 222012220120 is 21022210222.

It is a super-2 number, since 2×2220122201202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222012220094 and 222012220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222012220127) 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, 5244865 + ... + 5287024.

It is an arithmetic number, because the mean of its divisors is an integer number (8530830900).

Almost surely, 2222012220120 is an apocalyptic number.

222012220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222012220120 is an abundant number, since it is smaller than the sum of its proper divisors (323960957480).

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

222012220120 is a wasteful number, since it uses less digits than its factorization.

222012220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531948 (or 10531944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222012220120 its reverse (21022210222), we get a palindrome (243034430342).

The spelling of 222012220120 in words is "two hundred twenty-two billion, twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 21080 10531889 21063778 42127556 52659445 84255112 105318890 179042113 210637780 326488559 358084226 421275560 652977118 716168452 895210565 1305954236 1432336904 1632442795 1790421130 2611908472 3264885590 3580842260 5550305503 6529771180 7161684520 11100611006 13059542360 22201222012 27751527515 44402444024 55503055030 111006110060 222012220120