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230370788080 = 24519364341603
BaseRepresentation
bin1101011010001100101…
…0110100001011110000
3211000121221021120111101
43112203022310023300
512233244410204310
6253455245254144
722433542250446
oct3264312641360
9730557246441
10230370788080
1189777338864
1238792864354
13189544684b4
14b215888b96
155ed48e143a
hex35a32b42f0

230370788080 has 80 divisors (see below), whose sum is σ = 563970510720. Its totient is φ = 87272342784.

The previous prime is 230370788047. The next prime is 230370788107. The reversal of 230370788080 is 80887073032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 230370788080.

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, 5516559 + ... + 5558161.

It is an arithmetic number, because the mean of its divisors is an integer number (7049631384).

Almost surely, 2230370788080 is an apocalyptic number.

230370788080 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 230370788080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281985255360).

230370788080 is an abundant number, since it is smaller than the sum of its proper divisors (333599722640).

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

230370788080 is a wasteful number, since it uses less digits than its factorization.

230370788080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45278 (or 45272 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 230370788080 in words is "two hundred thirty billion, three hundred seventy million, seven hundred eighty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3643 7286 14572 18215 29144 36430 41603 58288 69217 72860 83206 138434 145720 166412 208015 276868 291440 332824 346085 416030 553736 665648 692170 790457 832060 1107472 1384340 1580914 1664120 2768680 3161828 3328240 3952285 5537360 6323656 7904570 12647312 15809140 31618280 63236560 151559729 303119458 606238916 757798645 1212477832 1515597290 2424955664 2879634851 3031194580 5759269702 6062389160 11518539404 12124778320 14398174255 23037078808 28796348510 46074157616 57592697020 115185394040 230370788080