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230076480 = 2635443541
BaseRepresentation
bin11011011011010…
…11000001000000
3121000221002121010
431231223001000
5432344421410
634455200520
75462421624
oct1555530100
9530832533
10230076480
11108965957
1265076140
133888803a
14227b1184
15152eac20
hexdb6b040

230076480 has 112 divisors (see below), whose sum is σ = 733495104. Its totient is φ = 61102080.

The previous prime is 230076463. The next prime is 230076503. The reversal of 230076480 is 84670032.

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

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, 425010 + ... + 425550.

Almost surely, 2230076480 is an apocalyptic number.

230076480 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 230076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366747552).

230076480 is an abundant number, since it is smaller than the sum of its proper divisors (503418624).

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

230076480 is a wasteful number, since it uses less digits than its factorization.

230076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 230076480 is about 15168.2721494572. The cubic root of 230076480 is about 612.7604711963.

The spelling of 230076480 in words is "two hundred thirty million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 443 480 541 886 960 1082 1329 1623 1772 2164 2215 2658 2705 3246 3544 4328 4430 5316 5410 6492 6645 7088 8115 8656 8860 10632 10820 12984 13290 14176 16230 17312 17720 21264 21640 25968 26580 28352 32460 34624 35440 42528 43280 51936 53160 64920 70880 85056 86560 103872 106320 129840 141760 173120 212640 239663 259680 425280 479326 519360 718989 958652 1198315 1437978 1917304 2396630 2875956 3594945 3834608 4793260 5751912 7189890 7669216 9586520 11503824 14379780 15338432 19173040 23007648 28759560 38346080 46015296 57519120 76692160 115038240 230076480