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148214430 = 232571318097
BaseRepresentation
bin10001101010110…
…01001010011110
3101022220001222100
420311121022132
5300420330210
622412425530
73446542020
oct1065311236
9338801870
10148214430
1176732771
12417782a6
1324925260
1415982010
15d02a5c0
hex8d5929e

148214430 has 96 divisors (see below), whose sum is σ = 474312384. Its totient is φ = 31269888.

The previous prime is 148214419. The next prime is 148214501. The reversal of 148214430 is 34412841.

148214430 is a `hidden beast` number, since 14 + 8 + 214 + 430 = 666.

148214430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 148214394 and 148214403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859 + ... + 17238.

It is an arithmetic number, because the mean of its divisors is an integer number (4940754).

Almost surely, 2148214430 is an apocalyptic number.

148214430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148214430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237156192).

148214430 is an abundant number, since it is smaller than the sum of its proper divisors (326097954).

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

148214430 is a wasteful number, since it uses less digits than its factorization.

148214430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18130 (or 18127 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 148214430 is about 12174.3348894303. The cubic root of 148214430 is about 529.2125841349.

The spelling of 148214430 in words is "one hundred forty-eight million, two hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 18097 36194 54291 90485 108582 126679 162873 180970 235261 253358 271455 325746 380037 470522 542910 633395 705783 760074 814365 1140111 1176305 1266790 1411566 1628730 1646827 1900185 2117349 2280222 2352610 3293654 3528915 3800370 4234698 4940481 5700555 7057830 8234135 9880962 10586745 11401110 14821443 16468270 21173490 24702405 29642886 49404810 74107215 148214430