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212213344000 = 28537947381
BaseRepresentation
bin1100010110100011100…
…1101010011100000000
3202021202111211211210111
43011220321222130000
511434103104002000
6241253420241104
721221562442630
oct3055071523400
9667674754714
10212213344000
1181aa999a329
12351659a0194
131701c730948
14a3b21966c0
1557c07d7cba
hex3168e6a700

212213344000 has 144 divisors (see below), whose sum is σ = 604172028096. Its totient is φ = 72758784000.

The previous prime is 212213343997. The next prime is 212213344073. The reversal of 212213344000 is 443312212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249691 + ... + 697690.

It is an arithmetic number, because the mean of its divisors is an integer number (4195639084).

Almost surely, 2212213344000 is an apocalyptic number.

212213344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213344000 is an abundant number, since it is smaller than the sum of its proper divisors (391958684096).

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

212213344000 is an frugal number, since it uses more digits than its factorization.

212213344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947419 (or 947395 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212213344000 its reverse (443312212), we get a palindrome (212656656212).

The spelling of 212213344000 in words is "two hundred twelve billion, two hundred thirteen million, three hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1280 1400 1600 1750 1792 2000 2240 2800 3200 3500 4000 4480 5600 6400 7000 8000 8960 11200 14000 16000 22400 28000 32000 44800 56000 112000 224000 947381 1894762 3789524 4736905 6631667 7579048 9473810 13263334 15158096 18947620 23684525 26526668 30316192 33158335 37895240 47369050 53053336 60632384 66316670 75790480 94738100 106106672 118422625 121264768 132633340 151580960 165791675 189476200 212213344 236845250 242529536 265266680 303161920 331583350 378952400 424426688 473690500 530533360 606323840 663166700 757904800 828958375 848853376 947381000 1061066720 1212647680 1326333400 1515809600 1657916750 1697706752 1894762000 2122133440 2652666800 3031619200 3315833500 3789524000 4244266880 5305333600 6063238400 6631667000 7579048000 8488533760 10610667200 13263334000 15158096000 21221334400 26526668000 30316192000 42442668800 53053336000 106106672000 212213344000