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211533014232 = 233243130152517
BaseRepresentation
bin1100010100000001011…
…0011010010011011000
3202020000002200111210200
43011000112122103120
511431204422423412
6241102114342200
721165661645131
oct3050026322330
9666002614720
10211533014232
118178a965521
1234bb5b8a960
1316c417ba857
14a349a9cc88
155780bed9dc
hex314059a4d8

211533014232 has 96 divisors (see below), whose sum is σ = 586686980880. Its totient is φ = 68816966400.

The previous prime is 211533014227. The next prime is 211533014261. The reversal of 211533014232 is 232410335112.

It is a super-2 number, since 2×2115330142322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211533014196 and 211533014205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4001638 + ... + 4054154.

Almost surely, 2211533014232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211533014232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293343490440).

211533014232 is an abundant number, since it is smaller than the sum of its proper divisors (375153966648).

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

211533014232 is a wasteful number, since it uses less digits than its factorization.

211533014232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53873 (or 53866 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 211533014232 its reverse (232410335112), we get a palindrome (443943349344).

The spelling of 211533014232 in words is "two hundred eleven billion, five hundred thirty-three million, fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1301 1548 2602 3096 3903 5204 7806 10408 11709 15612 23418 31224 46836 52517 55943 93672 105034 111886 157551 167829 210068 223772 315102 335658 420136 447544 472653 503487 630204 671316 945306 1006974 1260408 1342632 1890612 2013948 2258231 3781224 4027896 4516462 6774693 9032924 13549386 18065848 20324079 27098772 40648158 54197544 68324617 81296316 136649234 162592632 204973851 273298468 409947702 546596936 614921553 819895404 1229843106 1639790808 2459686212 2937958531 4919372424 5875917062 8813875593 11751834124 17627751186 23503668248 26441626779 35255502372 52883253558 70511004744 105766507116 211533014232