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214121148 = 223591931567
BaseRepresentation
bin11001100001100…
…11101010111100
3112220220110222220
430300303222330
5414303334043
633125205340
75206666623
oct1460635274
9486813886
10214121148
11aa95842a
125b860850
133548c907
142061a6ba
1513be8483
hexcc33abc

214121148 has 48 divisors (see below), whose sum is σ = 511042560. Its totient is φ = 69755904.

The previous prime is 214121059. The next prime is 214121179. The reversal of 214121148 is 841121412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135861 + ... + 137427.

It is an arithmetic number, because the mean of its divisors is an integer number (10646720).

Almost surely, 2214121148 is an apocalyptic number.

It is an amenable number.

214121148 is an abundant number, since it is smaller than the sum of its proper divisors (296921412).

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

214121148 is a wasteful number, since it uses less digits than its factorization.

214121148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1824 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 214121148 is about 14632.8790058553. The cubic root of 214121148 is about 598.2552535732.

The spelling of 214121148 in words is "two hundred fourteen million, one hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 59 118 177 193 236 354 386 579 708 772 1158 1567 2316 3134 4701 6268 9402 11387 18804 22774 34161 45548 68322 92453 136644 184906 277359 302431 369812 554718 604862 907293 1109436 1209724 1814586 3629172 17843429 35686858 53530287 71373716 107060574 214121148