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212053950 = 2355231563
BaseRepresentation
bin11001010001110…
…10111110111110
3112210000110100000
430220322332332
5413241211300
633013015130
75153300043
oct1450727676
9483013300
10212053950
11a97762a9
125b0244a6
1334c17a14
142023d1ca
151393ac00
hexca3afbe

212053950 has 144 divisors (see below), whose sum is σ = 610960896. Its totient is φ = 54626400.

The previous prime is 212053949. The next prime is 212053967. The reversal of 212053950 is 59350212.

212053950 is a `hidden beast` number, since 2 + 120 + 539 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376369 + ... + 376931.

It is an arithmetic number, because the mean of its divisors is an integer number (4242784).

Almost surely, 2212053950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212053950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305480448).

212053950 is an abundant number, since it is smaller than the sum of its proper divisors (398906946).

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

212053950 is a wasteful number, since it uses less digits than its factorization.

212053950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 212053950 is about 14562.0723113161. The cubic root of 212053950 is about 596.3237715770.

The spelling of 212053950 in words is "two hundred twelve million, fifty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 81 90 93 135 150 155 162 186 225 243 270 279 310 405 450 465 486 558 563 675 775 810 837 930 1126 1215 1350 1395 1550 1674 1689 2025 2325 2430 2511 2790 2815 3378 4050 4185 4650 5022 5067 5630 6075 6975 7533 8370 8445 10134 12150 12555 13950 14075 15066 15201 16890 17453 20925 25110 25335 28150 30402 34906 37665 41850 42225 45603 50670 52359 62775 75330 76005 84450 87265 91206 104718 125550 126675 136809 152010 157077 174530 188325 228015 253350 261795 273618 314154 376650 380025 436325 456030 471231 523590 684045 760050 785385 872650 942462 1140075 1308975 1368090 1413693 1570770 2280150 2356155 2617950 2827386 3420225 3926925 4241079 4712310 6840450 7068465 7853850 8482158 11780775 14136930 21205395 23561550 35342325 42410790 70684650 106026975 212053950