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212213148 = 22376433929
BaseRepresentation
bin11001010011000…
…01110110011100
3112210022112201020
430221201312130
5413311310043
633020244140
75154532140
oct1451416634
9483275636
10212213148
11a9874974
125b0a0650
1334c72314
1420281220
151396ce83
hexca61d9c

212213148 has 48 divisors (see below), whose sum is σ = 566926080. Its totient is φ = 60522624.

The previous prime is 212213143. The next prime is 212213149. The reversal of 212213148 is 841312212.

212213148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212213143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52048 + ... + 55976.

It is an arithmetic number, because the mean of its divisors is an integer number (11810960).

Almost surely, 2212213148 is an apocalyptic number.

212213148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212213148 is an abundant number, since it is smaller than the sum of its proper divisors (354712932).

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

212213148 is a wasteful number, since it uses less digits than its factorization.

212213148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 4584 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 212213148 is about 14567.5374720644. The cubic root of 212213148 is about 596.4729628635.

The spelling of 212213148 in words is "two hundred twelve million, two hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 643 1286 1929 2572 3858 3929 4501 7716 7858 9002 11787 13503 15716 18004 23574 27006 27503 47148 54012 55006 82509 110012 165018 330036 2526347 5052694 7579041 10105388 15158082 17684429 30316164 35368858 53053287 70737716 106106574 212213148