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148220352 = 2632736761
BaseRepresentation
bin10001101010110…
…10100111000000
3101022220101002200
420311122213000
5300421022402
622412513200
73446565210
oct1065324700
9338811080
10148220352
1176737165
124177b800
1324927b67
1415984240
15d02c21c
hex8d5a9c0

148220352 has 84 divisors (see below), whose sum is σ = 485552496. Its totient is φ = 42347520.

The previous prime is 148220341. The next prime is 148220377. The reversal of 148220352 is 253022841.

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, 14349 + ... + 22412.

Almost surely, 2148220352 is an apocalyptic number.

148220352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148220352 is an abundant number, since it is smaller than the sum of its proper divisors (337332144).

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

148220352 is a wasteful number, since it uses less digits than its factorization.

148220352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36786 (or 36773 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 148220352 is about 12174.5781035730. The cubic root of 148220352 is about 529.2196323806.

The spelling of 148220352 in words is "one hundred forty-eight million, two hundred twenty thousand, three hundred fifty-two".

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 36761 73522 110283 147044 220566 257327 294088 330849 441132 514654 588176 661698 771981 882264 1029308 1176352 1323396 1543962 1764528 2058616 2315943 2352704 2646792 3087924 3529056 4117232 4631886 5293584 6175848 7058112 8234464 9263772 10587168 12351696 16468928 18527544 21174336 24703392 37055088 49406784 74110176 148220352