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212230422240 = 2535442146713
BaseRepresentation
bin1100010110100111101…
…0110011111011100000
3202021210200222111201220
43011221322303323200
511434121442002430
6241255230255040
721222160552464
oct3055172637340
9667720874656
10212230422240
11820085a4481
123516b657480
1317023130205
14a3b45604a4
1557c205d110
hex3169eb3ee0

212230422240 has 48 divisors (see below), whose sum is σ = 668525831568. Its totient is φ = 56594779136.

The previous prime is 212230422233. The next prime is 212230422251. The reversal of 212230422240 is 42224032212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212230422240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221072877 + ... + 221073836.

It is an arithmetic number, because the mean of its divisors is an integer number (13927621491).

Almost surely, 2212230422240 is an apocalyptic number.

212230422240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212230422240 is an abundant number, since it is smaller than the sum of its proper divisors (456295409328).

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

212230422240 is a wasteful number, since it uses less digits than its factorization.

212230422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442146731 (or 442146723 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 212230422240 its reverse (42224032212), we get a palindrome (254454454452).

The spelling of 212230422240 in words is "two hundred twelve billion, two hundred thirty million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 442146713 884293426 1326440139 1768586852 2210733565 2652880278 3537173704 4421467130 5305760556 6632200695 7074347408 8842934260 10611521112 13264401390 14148694816 17685868520 21223042224 26528802780 35371737040 42446084448 53057605560 70743474080 106115211120 212230422240