Search a number
-
+
210200221200 = 24352267165581
BaseRepresentation
bin1100001111000011101…
…0001101011000010000
3202002120012210121110210
43003300322031120100
511420442224034300
6240321544124120
721120646254144
oct3036072153020
9662505717423
10210200221200
11811665aa382
12348a3766640
1316a8b640518
14a260a83224
155703bd2050
hex30f0e8d610

210200221200 has 120 divisors (see below), whose sum is σ = 673603739776. Its totient is φ = 56031552000.

The previous prime is 210200221193. The next prime is 210200221211. The reversal of 210200221200 is 2122002012.

210200221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 3172410 + ... + 3237990.

Almost surely, 2210200221200 is an apocalyptic number.

210200221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210200221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336801869888).

210200221200 is an abundant number, since it is smaller than the sum of its proper divisors (463403518576).

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

210200221200 is a wasteful number, since it uses less digits than its factorization.

210200221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68273 (or 68262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210200221200 its reverse (2122002012), we get a palindrome (212322223212).

The spelling of 210200221200 in words is "two hundred ten billion, two hundred million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2671 5342 8013 10684 13355 16026 21368 26710 32052 40065 42736 53420 64104 65581 66775 80130 106840 128208 131162 133550 160260 196743 200325 213680 262324 267100 320520 327905 393486 400650 524648 534200 641040 655810 786972 801300 983715 1049296 1068400 1311620 1573944 1602600 1639525 1967430 2623240 3147888 3205200 3279050 3934860 4918575 5246480 6558100 7869720 9837150 13116200 15739440 19674300 26232400 39348600 78697200 175166851 350333702 525500553 700667404 875834255 1051001106 1401334808 1751668510 2102002212 2627502765 2802669616 3503337020 4204004424 4379171275 5255005530 7006674040 8408008848 8758342550 10510011060 13137513825 14013348080 17516685100 21020022120 26275027650 35033370200 42040044240 52550055300 70066740400 105100110600 210200221200