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200970252 = 223276711903
BaseRepresentation
bin10111111101010…
…01000000001100
3112000011100100200
423332221000030
5402422022002
631535253500
74660135050
oct1376510014
9460140320
10200970252
11a3495a1a
125737a290
1332836b12
141c995c60
151299bb1c
hexbfa900c

200970252 has 72 divisors (see below), whose sum is σ = 589295616. Its totient is φ = 56558304.

The previous prime is 200970247. The next prime is 200970269. The reversal of 200970252 is 252079002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10933 + ... + 22835.

Almost surely, 2200970252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200970252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294647808).

200970252 is an abundant number, since it is smaller than the sum of its proper divisors (388325364).

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

200970252 is a wasteful number, since it uses less digits than its factorization.

200970252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 200970252 is about 14176.3977088681. The cubic root of 200970252 is about 585.7477005270.

The spelling of 200970252 in words is "two hundred million, nine hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2814 4221 5628 8442 11903 16884 23806 35709 47612 71418 83321 107127 142836 166642 214254 249963 333284 428508 499926 749889 797501 999852 1499778 1595002 2392503 2999556 3190004 4785006 5582507 7177509 9570012 11165014 14355018 16747521 22330028 28710036 33495042 50242563 66990084 100485126 200970252