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200064032 = 25737101239
BaseRepresentation
bin10111110110010…
…11110000100000
3111221110022020222
423323023300200
5402204022112
631504022212
74646342030
oct1373136040
9457408228
10200064032
11a2a27083
1257001968
13325aa4ac
141c7db8c0
151286d372
hexbecbc20

200064032 has 96 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 82252800.

The previous prime is 200063933. The next prime is 200064043. The reversal of 200064032 is 230460002.

200064032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200064032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836969 + ... + 837207.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2200064032 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 200064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

200064032 is an abundant number, since it is smaller than the sum of its proper divisors (268776928).

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

200064032 is a wasteful number, since it uses less digits than its factorization.

200064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 200064032 is about 14144.3993156302. The cubic root of 200064032 is about 584.8659512179.

The spelling of 200064032 in words is "two hundred million, sixty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 101 112 148 202 224 239 259 296 404 478 518 592 707 808 956 1036 1184 1414 1616 1673 1912 2072 2828 3232 3346 3737 3824 4144 5656 6692 7474 7648 8288 8843 11312 13384 14948 17686 22624 24139 26159 26768 29896 35372 48278 52318 53536 59792 61901 70744 96556 104636 119584 123802 141488 168973 193112 209272 247604 282976 337946 386224 418544 495208 675892 772448 837088 893143 990416 1351784 1786286 1980832 2703568 3572572 5407136 6252001 7145144 12504002 14290288 25008004 28580576 50016008 100032016 200064032