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212664106340 = 22574732319773
BaseRepresentation
bin1100011000001111000…
…1001011110101100100
3202022220221000221110222
43012003301023311210
511441014002400330
6241410241503512
721236005035560
oct3060361136544
9668827027428
10212664106340
1182210386794
1235270941b98
1317091c3661a
14a415db26a0
1557ea1770e5
hex3183c4bd64

212664106340 has 48 divisors (see below), whose sum is σ = 521253315072. Its totient is φ = 71362056576.

The previous prime is 212664106309. The next prime is 212664106373. The reversal of 212664106340 is 43601466212.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 212664106340.

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, 16153307 + ... + 16166466.

It is an arithmetic number, because the mean of its divisors is an integer number (10859444064).

Almost surely, 2212664106340 is an apocalyptic number.

212664106340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212664106340 is an abundant number, since it is smaller than the sum of its proper divisors (308589208732).

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

212664106340 is a wasteful number, since it uses less digits than its factorization.

212664106340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32319836 (or 32319834 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 212664106340 in words is "two hundred twelve billion, six hundred sixty-four million, one hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 32319773 64639546 129279092 161598865 226238411 323197730 452476822 646395460 904953644 1131192055 1519029331 2262384110 3038058662 4524768220 6076117324 7595146655 10633205317 15190293310 21266410634 30380586620 42532821268 53166026585 106332053170 212664106340