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212997504 = 2731573533
BaseRepresentation
bin11001011001000…
…01010110000000
3112211210101122110
430230201112000
5414011410004
633045135320
75164306656
oct1454412600
9484711573
10212997504
11aa2601a5
125b3ba540
1335188335
1420406dd6
1513a75589
hexcb21580

212997504 has 64 divisors (see below), whose sum is σ = 569539440. Its totient is φ = 70526976.

The previous prime is 212997469. The next prime is 212997527. The reversal of 212997504 is 405799212.

It is a tau number, because it is divible by the number of its divisors (64).

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, 58522 + ... + 62054.

Almost surely, 2212997504 is an apocalyptic number.

212997504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284769720).

212997504 is an abundant number, since it is smaller than the sum of its proper divisors (356541936).

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

212997504 is a wasteful number, since it uses less digits than its factorization.

212997504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 212997504 is about 14594.4340075249. The cubic root of 212997504 is about 597.2069292125.

The spelling of 212997504 in words is "two hundred twelve million, nine hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3533 3768 5024 7066 7536 10048 10599 14132 15072 20096 21198 28264 30144 42396 56528 60288 84792 113056 169584 226112 339168 452224 554681 678336 1109362 1356672 1664043 2218724 3328086 4437448 6656172 8874896 13312344 17749792 26624688 35499584 53249376 70999168 106498752 212997504