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232169340 = 2235131717509
BaseRepresentation
bin11011101011010…
…01111101111100
3121011212102110110
431311221331330
5433413404330
635012110020
75516256354
oct1565517574
9534772413
10232169340
1110a065297
1265905310
133913b810
1422b97b64
15155b0db0
hexdd69f7c

232169340 has 96 divisors (see below), whose sum is σ = 741303360. Its totient is φ = 53784576.

The previous prime is 232169293. The next prime is 232169351. The reversal of 232169340 is 43961232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232169298 and 232169307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4506 + ... + 22014.

It is an arithmetic number, because the mean of its divisors is an integer number (7721910).

Almost surely, 2232169340 is an apocalyptic number.

232169340 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 232169340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370651680).

232169340 is an abundant number, since it is smaller than the sum of its proper divisors (509134020).

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

232169340 is a wasteful number, since it uses less digits than its factorization.

232169340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17551 (or 17549 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 232169340 is about 15237.1040555612. The cubic root of 232169340 is about 614.6128305393.

The spelling of 232169340 in words is "two hundred thirty-two million, one hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 17509 35018 52527 70036 87545 105054 175090 210108 227617 262635 297653 350180 455234 525270 595306 682851 892959 910468 1050540 1138085 1190612 1365702 1488265 1785918 2276170 2731404 2976530 3414255 3571836 3869489 4464795 4552340 5953060 6828510 7738978 8929590 11608467 13657020 15477956 17859180 19347445 23216934 38694890 46433868 58042335 77389780 116084670 232169340