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200146986 = 232133723117
BaseRepresentation
bin10111110111000…
…00000000101010
3111221121112001100
423323200000222
5402214200421
631505502230
74650135624
oct1373400052
9457545040
10200146986
11a2a83436
1257041976
1332609190
141c81dc14
1512887c26
hexbee002a

200146986 has 48 divisors (see below), whose sum is σ = 479652264. Its totient is φ = 59916672.

The previous prime is 200146981. The next prime is 200146997. The reversal of 200146986 is 689641002.

It can be written as a sum of positive squares in 4 ways, for example, as 109307025 + 90839961 = 10455^2 + 9531^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 200146986.

It is not an unprimeable number, because it can be changed into a prime (200146981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2901 + ... + 20216.

Almost surely, 2200146986 is an apocalyptic number.

200146986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

200146986 is an abundant number, since it is smaller than the sum of its proper divisors (279505278).

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

200146986 is a wasteful number, since it uses less digits than its factorization.

200146986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23175 (or 23172 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 200146986 is about 14147.3314091386. The cubic root of 200146986 is about 584.9467757845.

Adding to 200146986 its reverse (689641002), we get a palindrome (889787988).

It can be divided in two parts, 20014 and 6986, that added together give a cube (27000 = 303).

The spelling of 200146986 in words is "two hundred million, one hundred forty-six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 23117 46234 69351 138702 208053 300521 416106 601042 855329 901563 1710658 1803126 2565987 2704689 5131974 5409378 7697961 11119277 15395922 22238554 33357831 66715662 100073493 200146986