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212210000200 = 235211173557567
BaseRepresentation
bin1100010110100010110…
…0111010000101001000
3202021202021112221222001
43011220230322011020
511434101230001300
6241253220440344
721221522145142
oct3055054720510
9667667487861
10212210000200
1181aa8016060
12351648490b4
131701bb2c973
14a3b1965c92
1557c037716a
hex3168b3a148

212210000200 has 96 divisors (see below), whose sum is σ = 541353922560. Its totient is φ = 76721081600.

The previous prime is 212210000153. The next prime is 212210000221. The reversal of 212210000200 is 2000012212.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 101817 + ... + 659383.

It is an arithmetic number, because the mean of its divisors is an integer number (5639103360).

Almost surely, 2212210000200 is an apocalyptic number.

212210000200 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 212210000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270676961280).

212210000200 is an abundant number, since it is smaller than the sum of its proper divisors (329143922360).

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

212210000200 is a wasteful number, since it uses less digits than its factorization.

212210000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557767 (or 557758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212210000200 its reverse (2000012212), we get a palindrome (214210012412).

The spelling of 212210000200 in words is "two hundred twelve billion, two hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 173 200 220 275 346 440 550 692 865 1100 1384 1730 1903 2200 3460 3806 4325 6920 7612 8650 9515 15224 17300 19030 34600 38060 47575 76120 95150 190300 380600 557567 1115134 2230268 2787835 4460536 5575670 6133237 11151340 12266474 13939175 22302680 24532948 27878350 30666185 49065896 55756700 61332370 96459091 111513400 122664740 153330925 192918182 245329480 306661850 385836364 482295455 613323700 771672728 964590910 1061050001 1226647400 1929181820 2122100002 2411477275 3858363640 4244200004 4822954550 5305250005 8488400008 9645909100 10610500010 19291818200 21221000020 26526250025 42442000040 53052500050 106105000100 212210000200