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146325216 = 2534335447
BaseRepresentation
bin10001011100010…
…11111011100000
3101012100002110110
420232023323200
5244424401331
622304131320
73424513062
oct1056137340
9335302413
10146325216
1175662334
1241006b40
132441338b
141560d732
15cca5946
hex8b8bee0

146325216 has 48 divisors (see below), whose sum is σ = 393047424. Its totient is φ = 47639424.

The previous prime is 146325211. The next prime is 146325217. The reversal of 146325216 is 612523641.

146325216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1463252162 = 42822137674893312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146325211) 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, 13596 + ... + 21851.

It is an arithmetic number, because the mean of its divisors is an integer number (8188488).

Almost surely, 2146325216 is an apocalyptic number.

146325216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146325216 is an abundant number, since it is smaller than the sum of its proper divisors (246722208).

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

146325216 is a wasteful number, since it uses less digits than its factorization.

146325216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35503 (or 35495 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 146325216 is about 12096.4960215758. The cubic root of 146325216 is about 526.9544276574.

Adding to 146325216 its reverse (612523641), we get a palindrome (758848857).

The spelling of 146325216 in words is "one hundred forty-six million, three hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 35447 70894 106341 141788 212682 283576 425364 567152 850728 1134304 1524221 1701456 3048442 3402912 4572663 6096884 9145326 12193768 18290652 24387536 36581304 48775072 73162608 146325216