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212990464 = 294753167
BaseRepresentation
bin11001011000111…
…11101000000000
3112211210000222201
430230133220000
5414011143324
633045042544
75164250311
oct1454375000
9484700881
10212990464
11aa255985
125b3b6454
133518507b
1420404608
1513a73444
hexcb1fa00

212990464 has 80 divisors (see below), whose sum is σ = 445471488. Its totient is φ = 101650432.

The previous prime is 212990461. The next prime is 212990473. The reversal of 212990464 is 464099212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212990461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1275309 + ... + 1275475.

Almost surely, 2212990464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222735744).

212990464 is an abundant number, since it is smaller than the sum of its proper divisors (232481024).

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

212990464 is an equidigital number, since it uses as much as digits as its factorization.

212990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 212990464 is about 14594.1928176929. The cubic root of 212990464 is about 597.2003495061.

The spelling of 212990464 in words is "two hundred twelve million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 128 167 188 212 256 334 376 424 512 668 752 848 1336 1504 1696 2491 2672 3008 3392 4982 5344 6016 6784 7849 8851 9964 10688 12032 13568 15698 17702 19928 21376 24064 27136 31396 35404 39856 42752 62792 70808 79712 85504 125584 141616 159424 251168 283232 318848 415997 502336 566464 637696 831994 1004672 1132928 1275392 1663988 2009344 2265856 3327976 4018688 4531712 6655952 13311904 26623808 53247616 106495232 212990464