Search a number
-
+
2212111220022 = 23611137929369
BaseRepresentation
bin100000001100001100000…
…110100111110100110110
321211110211211112021000000
4200030030012213310312
5242220400433020042
64412121352332130
7315551115061314
oct40141406476466
97743754467000
102212111220022
11783173128930
122b887b6a4046
131307a7a89812
14790d12610b4
153c81e84174c
hex2030c1a7d36

2212111220022 has 56 divisors (see below), whose sum is σ = 5427244850760. Its totient is φ = 670336728480.

The previous prime is 2212111220017. The next prime is 2212111220027. The reversal of 2212111220022 is 2200221112122.

It is a happy number.

2212111220022 is a `hidden beast` number, since 221 + 211 + 12 + 200 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (2212111220017) and next prime (2212111220027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212111219977 and 2212111220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212111220027) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 68948647 + ... + 68980722.

Almost surely, 22212111220022 is an apocalyptic number.

2212111220022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212111220022 is an abundant number, since it is smaller than the sum of its proper divisors (3215133630738).

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

2212111220022 is a wasteful number, since it uses less digits than its factorization.

2212111220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137929400 (or 137929385 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212111220022 its reverse (2200221112122), we get a palindrome (4412332332144).

The spelling of 2212111220022 in words is "two trillion, two hundred twelve billion, one hundred eleven million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 8019 16038 137929369 275858738 413788107 827576214 1241364321 1517223059 2482728642 3034446118 3724092963 4551669177 7448185926 9103338354 11172278889 13655007531 22344557778 27310015062 33516836667 40965022593 67033673334 81930045186 100550510001 122895067779 201101020002 245790135558 368685203337 737370406674 1106055610011 2212111220022