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213122297240 = 235171489210487
BaseRepresentation
bin1100011001111100010…
…1000010110110011000
3202101002212012110020022
43012133011002312120
511442433302002430
6241523530250012
721253240431236
oct3063705026630
9671085173208
10213122297240
1182425a87356
123537a286908
1317135b405b8
14a45aba3956
1558254d24e5
hex319f142d98

213122297240 has 64 divisors (see below), whose sum is σ = 508075934400. Its totient is φ = 80180011008.

The previous prime is 213122297239. The next prime is 213122297273. The reversal of 213122297240 is 42792221312.

It is a super-2 number, since 2×2131222972402 (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 213122297240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907277 + ... + 1117763.

It is an arithmetic number, because the mean of its divisors is an integer number (7938686475).

Almost surely, 2213122297240 is an apocalyptic number.

213122297240 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 213122297240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254037967200).

213122297240 is an abundant number, since it is smaller than the sum of its proper divisors (294953637160).

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

213122297240 is a wasteful number, since it uses less digits than its factorization.

213122297240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212004 (or 212000 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 213122297240 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1489 2978 5956 7445 11912 14890 25313 29780 50626 59560 101252 126565 202504 210487 253130 420974 506260 841948 1012520 1052435 1683896 2104870 3578279 4209740 7156558 8419480 14313116 17891395 28626232 35782790 71565580 143131160 313415143 626830286 1253660572 1567075715 2507321144 3134151430 5328057431 6268302860 10656114862 12536605720 21312229724 26640287155 42624459448 53280574310 106561148620 213122297240