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202003212 = 2231929137223
BaseRepresentation
bin11000000101001…
…01001100001100
3112002002211022110
430002211030030
5403203100322
632013344020
75001666435
oct1402451414
9462084273
10202003212
11a4031004
1257798010
1332b09038
141cb8448c
1512b02c0c
hexc0a530c

202003212 has 96 divisors (see below), whose sum is σ = 519321600. Its totient is φ = 60867072.

The previous prime is 202003201. The next prime is 202003247. The reversal of 202003212 is 212300202.

202003212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905733 + ... + 905955.

It is an arithmetic number, because the mean of its divisors is an integer number (5409600).

Almost surely, 2202003212 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 202003212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259660800).

202003212 is an abundant number, since it is smaller than the sum of its proper divisors (317318388).

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

202003212 is a wasteful number, since it uses less digits than its factorization.

202003212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202003212 is about 14212.7834008684. The cubic root of 202003212 is about 586.7495407775.

Adding to 202003212 its reverse (212300202), we get a palindrome (414303414).

The spelling of 202003212 in words is "two hundred two million, three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 137 174 223 228 274 348 411 446 548 551 669 822 892 1102 1338 1644 1653 2204 2603 2676 3306 3973 4237 5206 6467 6612 7809 7946 8474 10412 11919 12711 12934 15618 15892 16948 19401 23838 25422 25868 30551 31236 38802 47676 50844 61102 75487 77604 91653 122204 122873 150974 183306 226461 245746 301948 366612 368619 452922 491492 580469 737238 885979 905844 1160938 1474476 1741407 1771958 2321876 2657937 3482814 3543916 5315874 6965628 10631748 16833601 33667202 50500803 67334404 101001606 202003212