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212644640 = 25513102233
BaseRepresentation
bin11001010110010…
…11001100100000
3112211010110121102
430223023030200
5413414112030
633033413532
75161310135
oct1453131440
9484113542
10212644640
11aa03a07a
125b26a2a8
1335093840
142035458c
1513a05c45
hexcacb320

212644640 has 48 divisors (see below), whose sum is σ = 541022328. Its totient is φ = 78514176.

The previous prime is 212644613. The next prime is 212644657. The reversal of 212644640 is 46446212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128958736 + 83685904 = 11356^2 + 9148^2 .

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, 49037 + ... + 53196.

Almost surely, 2212644640 is an apocalyptic number.

212644640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212644640 is an abundant number, since it is smaller than the sum of its proper divisors (328377688).

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

212644640 is a wasteful number, since it uses less digits than its factorization.

212644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102261 (or 102253 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 212644640 is about 14582.3400042654. The cubic root of 212644640 is about 596.8769577341.

The spelling of 212644640 in words is "two hundred twelve million, six hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 102233 204466 408932 511165 817864 1022330 1329029 1635728 2044660 2658058 3271456 4089320 5316116 6645145 8178640 10632232 13290290 16357280 21264464 26580580 42528928 53161160 106322320 212644640