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212240330400 = 25352712633353
BaseRepresentation
bin1100010110101010000…
…0100110111010100000
3202021211101121220011210
43011222200212322200
511434132011033100
6241300222510120
721222341020320
oct3055240467240
9667741556153
10212240330400
118201315163a
1235172a35340
13170251bc027
14a3b59bd280
1557c2d68c50
hex316a826ea0

212240330400 has 144 divisors (see below), whose sum is σ = 789534091584. Its totient is φ = 48512071680.

The previous prime is 212240330399. The next prime is 212240330429. The reversal of 212240330400 is 4033042212.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 6299877 + ... + 6333476.

It is an arithmetic number, because the mean of its divisors is an integer number (5482875636).

Almost surely, 2212240330400 is an apocalyptic number.

212240330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212240330400 is an abundant number, since it is smaller than the sum of its proper divisors (577293761184).

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

212240330400 is a wasteful number, since it uses less digits than its factorization.

212240330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12633383 (or 12633370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 212240330400 its reverse (4033042212), we get a palindrome (216273372612).

The spelling of 212240330400 in words is "two hundred twelve billion, two hundred forty million, three hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 12633353 25266706 37900059 50533412 63166765 75800118 88433471 101066824 126333530 151600236 176866942 189500295 202133648 252667060 265300413 303200472 315833825 353733884 379000590 404267296 442167355 505334120 530600826 606400944 631667650 707467768 758001180 884334710 947501475 1010668240 1061201652 1212801888 1263335300 1326502065 1414935536 1516002360 1768669420 1895002950 2021336480 2122403304 2210836775 2526670600 2653004130 2829871072 3032004720 3537338840 3790005900 4244806608 4421673550 5053341200 5306008260 6064009440 6632510325 7074677680 7580011800 8489613216 8843347100 10106682400 10612016520 13265020650 14149355360 15160023600 17686694200 21224033040 26530041300 30320047200 35373388400 42448066080 53060082600 70746776800 106120165200 212240330400