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147422016 = 2632736563
BaseRepresentation
bin10001100100101…
…11101101000000
3101021101210222200
420302113231000
5300220001031
622343433200
73440031540
oct1062275500
9337353880
10147422016
1176241385
1241455800
1324708681
1415817320
15ce208e6
hex8c97b40

147422016 has 84 divisors (see below), whose sum is σ = 482937312. Its totient is φ = 42119424.

The previous prime is 147421987. The next prime is 147422039. The reversal of 147422016 is 610224741.

147422016 is digitally balanced in base 3, 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 (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14250 + ... + 22313.

Almost surely, 2147422016 is an apocalyptic number.

147422016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

147422016 is an abundant number, since it is smaller than the sum of its proper divisors (335515296).

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

147422016 is a wasteful number, since it uses less digits than its factorization.

147422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36588 (or 36575 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 147422016 is about 12141.7468265485. The cubic root of 147422016 is about 528.2677705157.

Adding to 147422016 its reverse (610224741), we get a palindrome (757646757).

The spelling of 147422016 in words is "one hundred forty-seven million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 36563 73126 109689 146252 219378 255941 292504 329067 438756 511882 585008 658134 767823 877512 1023764 1170016 1316268 1535646 1755024 2047528 2303469 2340032 2632536 3071292 3510048 4095056 4606938 5265072 6142584 7020096 8190112 9213876 10530144 12285168 16380224 18427752 21060288 24570336 36855504 49140672 73711008 147422016