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200054946 = 237213173079
BaseRepresentation
bin10111110110010…
…01100010100010
3111221102211210110
423323021202202
5402203224241
631503512150
74646303400
oct1373114242
9457384713
10200054946
11a2a20273
1256bb8656
13325a6310
141c7d8470
151286a816
hexbec98a2

200054946 has 96 divisors (see below), whose sum is σ = 530893440. Its totient is φ = 49641984.

The previous prime is 200054941. The next prime is 200054969. The reversal of 200054946 is 649450002.

200054946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200054941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63435 + ... + 66513.

It is an arithmetic number, because the mean of its divisors is an integer number (5530140).

Almost surely, 2200054946 is an apocalyptic number.

200054946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200054946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720).

200054946 is an abundant number, since it is smaller than the sum of its proper divisors (330838494).

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

200054946 is a wasteful number, since it uses less digits than its factorization.

200054946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 200054946 is about 14144.0781247842. The cubic root of 200054946 is about 584.8570970985.

The spelling of 200054946 in words is "two hundred million, fifty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 49 51 78 91 98 102 119 147 182 221 238 273 294 357 442 546 637 663 714 833 1274 1326 1547 1666 1911 2499 3079 3094 3822 4641 4998 6158 9237 9282 10829 18474 21553 21658 32487 40027 43106 52343 64659 64974 80054 104686 120081 129318 150871 157029 240162 280189 301742 314058 366401 452613 560378 680459 732802 840567 905226 1099203 1360918 1681134 1961323 2041377 2198406 2564807 3922646 4082754 4763213 5129614 5883969 7694421 9526426 11767938 14289639 15388842 28579278 33342491 66684982 100027473 200054946