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30229760 = 2851119113
BaseRepresentation
bin111001101010…
…0010100000000
32002212211102202
41303110110000
530214323020
62555532332
7514643261
oct163242400
962784382
1030229760
1116078080
12a15a0a8
136355742
14402c968
1529c1e75
hex1cd4500

30229760 has 144 divisors (see below), whose sum is σ = 83885760. Its totient is φ = 10321920.

The previous prime is 30229739. The next prime is 30229763. The reversal of 30229760 is 6792203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30229763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267464 + ... + 267576.

It is an arithmetic number, because the mean of its divisors is an integer number (582540).

Almost surely, 230229760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942880).

30229760 is an abundant number, since it is smaller than the sum of its proper divisors (53656000).

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

30229760 is a wasteful number, since it uses less digits than its factorization.

30229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 30229760 is about 5498.1596921152. The cubic root of 30229760 is about 311.5144760433.

The spelling of 30229760 in words is "thirty million, two hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 113 128 152 160 176 190 209 220 226 256 304 320 352 380 418 440 452 565 608 640 704 760 836 880 904 1045 1130 1216 1243 1280 1408 1520 1672 1760 1808 2090 2147 2260 2432 2486 2816 3040 3344 3520 3616 4180 4294 4520 4864 4972 6080 6215 6688 7040 7232 8360 8588 9040 9944 10735 12160 12430 13376 14080 14464 16720 17176 18080 19888 21470 23617 24320 24860 26752 28928 33440 34352 36160 39776 42940 47234 49720 53504 66880 68704 72320 79552 85880 94468 99440 118085 133760 137408 144640 159104 171760 188936 198880 236170 267520 274816 318208 343520 377872 397760 472340 549632 687040 755744 795520 944680 1374080 1511488 1591040 1889360 2748160 3022976 3778720 6045952 7557440 15114880 30229760