Search a number
-
+
30228440 = 235112329103
BaseRepresentation
bin111001101001…
…1111111011000
32002212202121212
41303103333120
530214302230
62555522252
7514636364
oct163237730
962782555
1030228440
1116077090
12a159388
136354c68
14402c2a4
1529c1895
hex1cd3fd8

30228440 has 128 divisors (see below), whose sum is σ = 80870400. Its totient is φ = 10053120.

The previous prime is 30228437. The next prime is 30228467. The reversal of 30228440 is 4482203.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293429 + ... + 293531.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 230228440 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 30228440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435200).

30228440 is an abundant number, since it is smaller than the sum of its proper divisors (50641960).

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

30228440 is a wasteful number, since it uses less digits than its factorization.

30228440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 30228440 is about 5498.0396506391. The cubic root of 30228440 is about 311.5099418239.

The spelling of 30228440 in words is "thirty million, two hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 29 40 44 46 55 58 88 92 103 110 115 116 145 184 206 220 230 232 253 290 319 412 440 460 506 515 580 638 667 824 920 1012 1030 1133 1160 1265 1276 1334 1595 2024 2060 2266 2369 2530 2552 2668 2987 3190 3335 4120 4532 4738 5060 5336 5665 5974 6380 6670 7337 9064 9476 10120 11330 11845 11948 12760 13340 14674 14935 18952 22660 23690 23896 26059 26680 29348 29870 32857 36685 45320 47380 52118 58696 59740 65714 68701 73370 94760 104236 119480 130295 131428 137402 146740 164285 208472 260590 262856 274804 293480 328570 343505 521180 549608 657140 687010 755711 1042360 1314280 1374020 1511422 2748040 3022844 3778555 6045688 7557110 15114220 30228440