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212470590 = 235173189151
BaseRepresentation
bin11001010101000…
…00101100111110
3112210210121212010
430222200230332
5413343024330
633025552050
75156653533
oct1452405476
9483717763
10212470590
11a9a30332
125b1a5626
1335032557
142030ad8a
15139be3b0
hexcaa0b3e

212470590 has 128 divisors (see below), whose sum is σ = 567336960. Its totient is φ = 50688000.

The previous prime is 212470571. The next prime is 212470591. The reversal of 212470590 is 95074212.

212470590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124705902 = 90287503229896200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212470591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1407015 + ... + 1407165.

It is an arithmetic number, because the mean of its divisors is an integer number (4432320).

Almost surely, 2212470590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212470590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283668480).

212470590 is an abundant number, since it is smaller than the sum of its proper divisors (354866370).

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

212470590 is a wasteful number, since it uses less digits than its factorization.

212470590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 212470590 is about 14576.3709475301. The cubic root of 212470590 is about 596.7140650146.

The spelling of 212470590 in words is "two hundred twelve million, four hundred seventy thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 89 93 102 151 155 170 178 186 255 267 302 310 445 453 465 510 527 534 755 890 906 930 1054 1335 1510 1513 1581 2265 2567 2635 2670 2759 3026 3162 4530 4539 4681 5134 5270 5518 7565 7701 7905 8277 9078 9362 12835 13439 13795 14043 15130 15402 15810 16554 22695 23405 25670 26878 27590 28086 38505 40317 41385 45390 46810 46903 67195 70215 77010 79577 80634 82770 93806 134390 140430 140709 159154 201585 228463 234515 238731 281418 397885 403170 416609 456926 469030 477462 685389 703545 795770 833218 1142315 1193655 1249827 1370778 1407090 2083045 2284630 2387310 2499654 3426945 4166090 6249135 6853890 7082353 12498270 14164706 21247059 35411765 42494118 70823530 106235295 212470590