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212144220222 = 231161169731051
BaseRepresentation
bin1100010110010011000…
…1111110100000111110
3202021120200202222210120
43011210301332200332
511433432410021342
6241242510515410
721220063055604
oct3054461764076
9667520688716
10212144220222
1181a73977640
1235146805b66
131700b30abbc
14a3a6d21874
1557b96d1aec
hex3164c7e83e

212144220222 has 64 divisors (see below), whose sum is σ = 470740370688. Its totient is φ = 63192960000.

The previous prime is 212144220217. The next prime is 212144220229. The reversal of 212144220222 is 222022441212.

It is a junction number, because it is equal to n+sod(n) for n = 212144220192 and 212144220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212144220229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6816597 + ... + 6847647.

It is an arithmetic number, because the mean of its divisors is an integer number (7355318292).

Almost surely, 2212144220222 is an apocalyptic number.

212144220222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212144220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235370185344).

212144220222 is an abundant number, since it is smaller than the sum of its proper divisors (258596150466).

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

212144220222 is a wasteful number, since it uses less digits than its factorization.

212144220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32825.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212144220222 its reverse (222022441212), we get a palindrome (434166661434).

The spelling of 212144220222 in words is "two hundred twelve billion, one hundred forty-four million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1342 1697 2013 3394 4026 5091 10182 18667 31051 37334 56001 62102 93153 103517 112002 186306 207034 310551 341561 621102 683122 1024683 1138687 1894111 2049366 2277374 3416061 3788222 5682333 6832122 11364666 20835221 41670442 52693547 62505663 105387094 125011326 158080641 316161282 579629017 1159258034 1738887051 3214306367 3477774102 6428612734 9642919101 19285838202 35357370037 70714740074 106072110111 212144220222