Search a number
-
+
2423198960 = 24573136793
BaseRepresentation
bin1001000001101111…
…0001010011110000
320020212200021001122
42100123301103300
514430314331320
61040241321412
7114022565000
oct22033612360
96225607048
102423198960
111033918276
12577636268
132c804c150
1418db7c000
15e2b09d25
hex906f14f0

2423198960 has 160 divisors (see below), whose sum is σ = 7076630400. Its totient is φ = 766789632.

The previous prime is 2423198959. The next prime is 2423199043. The reversal of 2423198960 is 698913242.

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, 353324 + ... + 360116.

It is an arithmetic number, because the mean of its divisors is an integer number (44228940).

Almost surely, 22423198960 is an apocalyptic number.

2423198960 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 2423198960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538315200).

2423198960 is an abundant number, since it is smaller than the sum of its proper divisors (4653431440).

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

2423198960 is a wasteful number, since it uses less digits than its factorization.

2423198960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 2423198960 is about 49225.9988217608. The cubic root of 2423198960 is about 1343.1660045767.

The spelling of 2423198960 in words is "two billion, four hundred twenty-three million, one hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 343 364 392 455 490 520 560 637 686 728 784 910 980 1040 1274 1372 1456 1715 1820 1960 2548 2744 3185 3430 3640 3920 4459 5096 5488 6370 6793 6860 7280 8918 10192 12740 13586 13720 17836 22295 25480 27172 27440 33965 35672 44590 47551 50960 54344 67930 71344 88309 89180 95102 108688 135860 176618 178360 190204 237755 271720 332857 353236 356720 380408 441545 475510 543440 618163 665714 706472 760816 883090 951020 1236326 1331428 1412944 1664285 1766180 1902040 2329999 2472652 2662856 3090815 3328570 3532360 3804080 4327141 4659998 4945304 5325712 6181630 6657140 7064720 8654282 9319996 9890608 11649995 12363260 13314280 17308564 18639992 21635705 23299990 24726520 26628560 30289987 34617128 37279984 43271410 46599980 49453040 60579974 69234256 86542820 93199960 121159948 151449935 173085640 186399920 242319896 302899870 346171280 484639792 605799740 1211599480 2423198960