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231949980 = 22345672137
BaseRepresentation
bin11011101001101…
…00011010011100
3121011110021120000
431310310122130
5433334344410
635003254300
75514354003
oct1564643234
9534407500
10231949980
11109a254a9
126581a390
1339092a12
1422b3bc3a
151556adc0
hexdd3469c

231949980 has 120 divisors (see below), whose sum is σ = 738841488. Its totient is φ = 60901632.

The previous prime is 231949951. The next prime is 231949987. The reversal of 231949980 is 89949132.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231949987) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107472 + ... + 109608.

Almost surely, 2231949980 is an apocalyptic number.

231949980 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 231949980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369420744).

231949980 is an abundant number, since it is smaller than the sum of its proper divisors (506891508).

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

231949980 is a wasteful number, since it uses less digits than its factorization.

231949980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 231949980 is about 15229.9041362709. The cubic root of 231949980 is about 614.4192018230.

The spelling of 231949980 in words is "two hundred thirty-one million, nine hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 268 270 324 335 402 405 540 603 670 804 810 1005 1206 1340 1620 1809 2010 2137 2412 3015 3618 4020 4274 5427 6030 6411 7236 8548 9045 10685 10854 12060 12822 18090 19233 21370 21708 25644 27135 32055 36180 38466 42740 54270 57699 64110 76932 96165 108540 115398 128220 143179 173097 192330 230796 286358 288495 346194 384660 429537 572716 576990 692388 715895 859074 865485 1153980 1288611 1431790 1718148 1730970 2147685 2577222 2863580 3461940 3865833 4295370 5154444 6443055 7731666 8590740 11597499 12886110 15463332 19329165 23194998 25772220 38658330 46389996 57987495 77316660 115974990 231949980