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22102100214 = 2317499434243
BaseRepresentation
bin10100100101011000…
…110100100011110110
32010001100000000122020
4110211120310203312
5330231114201324
614053100414010
71411465515645
oct244530644366
963040000566
1022102100214
119412072027
124349b47306
13211304c70c
1410d955b35c
1589559a679
hex5256348f6

22102100214 has 32 divisors (see below), whose sum is σ = 46898352000. Its totient is φ = 6920080512.

The previous prime is 22102100213. The next prime is 22102100221. The reversal of 22102100214 is 41200120122.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22102100193 and 22102100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102100213) by changing a digit.

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, 166224 + ... + 268019.

It is an arithmetic number, because the mean of its divisors is an integer number (1465573500).

Almost surely, 222102100214 is an apocalyptic number.

22102100214 is an abundant number, since it is smaller than the sum of its proper divisors (24796251786).

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

22102100214 is a wasteful number, since it uses less digits than its factorization.

22102100214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434764.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102100214 its reverse (41200120122), we get a palindrome (63302220336).

The spelling of 22102100214 in words is "twenty-two billion, one hundred two million, one hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 499 998 1497 2994 8483 16966 25449 50898 434243 868486 1302729 2605458 7382131 14764262 22146393 44292786 216687257 433374514 650061771 1300123542 3683683369 7367366738 11051050107 22102100214