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214621940 = 225131759823
BaseRepresentation
bin11001100101011…
…01111011110100
3112221211220221202
430302231323310
5414420400230
633144032032
75214153641
oct1462557364
9487756852
10214621940
1110016a705
125ba62618
1335606840
142070adc8
1513c96a45
hexccadef4

214621940 has 96 divisors (see below), whose sum is σ = 523272960. Its totient is φ = 73230336.

The previous prime is 214621933. The next prime is 214621951. The reversal of 214621940 is 49126412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260369 + ... + 261191.

It is an arithmetic number, because the mean of its divisors is an integer number (5450760).

Almost surely, 2214621940 is an apocalyptic number.

214621940 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 214621940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261636480).

214621940 is an abundant number, since it is smaller than the sum of its proper divisors (308651020).

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

214621940 is a wasteful number, since it uses less digits than its factorization.

214621940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 214621940 is about 14649.9808873595. The cubic root of 214621940 is about 598.7212953116.

The spelling of 214621940 in words is "two hundred fourteen million, six hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 59 65 68 85 118 130 170 221 236 260 295 340 442 590 767 823 884 1003 1105 1180 1534 1646 2006 2210 3068 3292 3835 4012 4115 4420 5015 7670 8230 10030 10699 13039 13991 15340 16460 20060 21398 26078 27982 42796 48557 52156 53495 55964 65195 69955 97114 106990 130390 139910 181883 194228 213980 242785 260780 279820 363766 485570 631241 727532 825469 909415 971140 1262482 1650938 1818830 2524964 3156205 3301876 3637660 4127345 6312410 8254690 10731097 12624820 16509380 21462194 42924388 53655485 107310970 214621940