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221211022332144 = 24313443800236667
BaseRepresentation
bin110010010011000010110100…
…011010000001000011110000
31002000020120022111021011101110
4302103002310122001003300
5212443310133204112034
62102250535111033320
764410653231326545
oct6223026432010360
91060216274234343
10221211022332144
1164537082168789
122098821796b840
1396581575a3a30
143c8a956210bcc
151a89316611de9
hexc930b46810f0

221211022332144 has 80 divisors (see below), whose sum is σ = 616809619907712. Its totient is φ = 67911284423424.

The previous prime is 221211022332143. The next prime is 221211022332371. The reversal of 221211022332144 is 441233220112122.

It is a super-2 number, since 2×2212110223321442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211022332143) 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, 399841902 + ... + 400394765.

Almost surely, 2221211022332144 is an apocalyptic number.

221211022332144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221211022332144 is an abundant number, since it is smaller than the sum of its proper divisors (395598597575568).

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

221211022332144 is a wasteful number, since it uses less digits than its factorization.

221211022332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800237134 (or 800237128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 221211022332144 its reverse (441233220112122), we get a palindrome (662444242444266).

The spelling of 221211022332144 in words is "two hundred twenty-one trillion, two hundred eleven billion, twenty-two million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 443 624 886 1329 1772 2658 3544 5316 5759 7088 10632 11518 17277 21264 23036 34554 46072 69108 92144 138216 276432 800236667 1600473334 2400710001 3200946668 4801420002 6401893336 9602840004 10403076671 12803786672 19205680008 20806153342 31209230013 38411360016 41612306684 62418460026 83224613368 124836920052 166449226736 249673840104 354504843481 499347680208 709009686962 1063514530443 1418019373924 2127029060886 2836038747848 4254058121772 4608562965253 5672077495696 8508116243544 9217125930506 13825688895759 17016232487088 18434251861012 27651377791518 36868503722024 55302755583036 73737007444048 110605511166072 221211022332144