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213032222000 = 24531310379549
BaseRepresentation
bin1100011001100110110…
…1011011110100110000
3202100212120201011020022
43012121231123310300
511442242222101000
6241510551503012
721251065003223
oct3063155336460
9670776634208
10213032222000
118238a154504
1235354087a68
1317120293340
14a44cc375ba
15581c63d585
hex3199b5bd30

213032222000 has 160 divisors (see below), whose sum is σ = 560128732800. Its totient is φ = 77893401600.

The previous prime is 213032221979. The next prime is 213032222023. The reversal of 213032222000 is 222230312.

It is a super-2 number, since 2×2130322220002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213032222000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2638226 + ... + 2717774.

It is an arithmetic number, because the mean of its divisors is an integer number (3500804580).

Almost surely, 2213032222000 is an apocalyptic number.

213032222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213032222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280064366400).

213032222000 is an abundant number, since it is smaller than the sum of its proper divisors (347096510800).

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

213032222000 is a wasteful number, since it uses less digits than its factorization.

213032222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79688 (or 79672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 213032222000 its reverse (222230312), we get a palindrome (213254452312).

The spelling of 213032222000 in words is "two hundred thirteen billion, thirty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 103 104 125 130 200 206 208 250 260 325 400 412 500 515 520 650 824 1000 1030 1040 1300 1339 1625 1648 2000 2060 2575 2600 2678 3250 4120 5150 5200 5356 6500 6695 8240 10300 10712 12875 13000 13390 20600 21424 25750 26000 26780 33475 41200 51500 53560 66950 79549 103000 107120 133900 159098 167375 206000 267800 318196 334750 397745 535600 636392 669500 795490 1034137 1272784 1339000 1590980 1988725 2068274 2678000 3181960 3977450 4136548 5170685 6363920 7954900 8193547 8273096 9943625 10341370 15909800 16387094 16546192 19887250 20682740 25853425 31819600 32774188 39774500 40967735 41365480 51706850 65548376 79549000 81935470 82730960 103413700 106516111 129267125 131096752 159098000 163870940 204838675 206827400 213032222 258534250 327741880 409677350 413654800 426064444 517068500 532580555 655483760 819354700 852128888 1024193375 1034137000 1065161110 1638709400 1704257776 2048386750 2068274000 2130322220 2662902775 3277418800 4096773500 4260644440 5325805550 8193547000 8521288880 10651611100 13314513875 16387094000 21303222200 26629027750 42606444400 53258055500 106516111000 213032222000