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200083325 = 52132232971
BaseRepresentation
bin10111110110100…
…00011101111101
3111221111021201112
423323100131331
5402210131300
631504251405
74646452211
oct1373203575
9457437645
10200083325
11a2a3a622
1257010b65
13325b6200
141c804941
1512873e35
hexbed077d

200083325 has 72 divisors (see below), whose sum is σ = 294088320. Its totient is φ = 134534400.

The previous prime is 200083313. The next prime is 200083349. The reversal of 200083325 is 523380002.

It is a de Polignac number, because none of the positive numbers 2k-200083325 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 200083325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2818040 + ... + 2818110.

It is an arithmetic number, because the mean of its divisors is an integer number (4084560).

Almost surely, 2200083325 is an apocalyptic number.

200083325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200083325 is a deficient number, since it is larger than the sum of its proper divisors (94004995).

200083325 is a wasteful number, since it uses less digits than its factorization.

200083325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 200083325 is about 14145.0813005794. The cubic root of 200083325 is about 584.8847509592.

The spelling of 200083325 in words is "two hundred million, eighty-three thousand, three hundred twenty-five".

Divisors: 1 5 13 23 25 29 65 71 115 145 169 299 325 355 377 575 667 725 845 923 1495 1633 1775 1885 2059 3335 3887 4225 4615 4901 7475 8165 8671 9425 10295 11999 16675 19435 21229 23075 24505 26767 40825 43355 47357 51475 59995 97175 106145 112723 122525 133835 216775 236785 275977 299975 347971 530725 563615 615641 669175 1183925 1379885 1739855 2818075 3078205 6899425 8003333 8699275 15391025 40016665 200083325