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232214920 = 23572257461
BaseRepresentation
bin11011101011101…
…01000110001000
3121011221201222121
431311311012020
5433421334140
635013101024
75516536300
oct1565650610
9534851877
10232214920
1110a096563
1265927774
13391564a2
1422baa600
15155be64a
hexdd75188

232214920 has 96 divisors (see below), whose sum is σ = 611475480. Its totient is φ = 79134720.

The previous prime is 232214911. The next prime is 232214933. The reversal of 232214920 is 29412232.

232214920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 220641316 + 11573604 = 14854^2 + 3402^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503490 + ... + 503950.

Almost surely, 2232214920 is an apocalyptic number.

232214920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232214920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305737740).

232214920 is an abundant number, since it is smaller than the sum of its proper divisors (379260560).

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

232214920 is a wasteful number, since it uses less digits than its factorization.

232214920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 232214920 is about 15238.5996731983. The cubic root of 232214920 is about 614.6530486257.

The spelling of 232214920 in words is "two hundred thirty-two million, two hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 257 280 392 461 490 514 922 980 1028 1285 1799 1844 1960 2056 2305 2570 3227 3598 3688 4610 5140 6454 7196 8995 9220 10280 12593 12908 14392 16135 17990 18440 22589 25186 25816 32270 35980 45178 50372 62965 64540 71960 90356 100744 112945 118477 125930 129080 180712 225890 236954 251860 451780 473908 503720 592385 829339 903560 947816 1184770 1658678 2369540 3317356 4146695 4739080 5805373 6634712 8293390 11610746 16586780 23221492 29026865 33173560 46442984 58053730 116107460 232214920