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2294009840 = 2451947163197
BaseRepresentation
bin1000100010111011…
…1100111111110000
312220212120202220102
42020232330333300
514144231303330
61015344331532
7110563522223
oct21056747760
95825522812
102294009840
11a779aa601
12540313ba8
132a7358795
1417a94d5ba
15d65db945
hex88bbcff0

2294009840 has 160 divisors (see below), whose sum is σ = 5798200320. Its totient is φ = 841300992.

The previous prime is 2294009813. The next prime is 2294009843. The reversal of 2294009840 is 489004922.

It is a super-2 number, since 2×22940098402 = 10524962292033651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2294009794 and 2294009803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2294009843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11644622 + ... + 11644818.

It is an arithmetic number, because the mean of its divisors is an integer number (36238752).

Almost surely, 22294009840 is an apocalyptic number.

2294009840 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 2294009840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899100160).

2294009840 is an abundant number, since it is smaller than the sum of its proper divisors (3504190480).

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

2294009840 is a wasteful number, since it uses less digits than its factorization.

2294009840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2294009840 is about 47895.8227823680. The cubic root of 2294009840 is about 1318.8591765441.

The spelling of 2294009840 in words is "two billion, two hundred ninety-four million, nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 163 188 190 197 235 304 326 376 380 394 470 652 752 760 788 815 893 940 985 1304 1520 1576 1630 1786 1880 1970 2608 3097 3152 3260 3572 3743 3760 3940 4465 6194 6520 7144 7486 7661 7880 8930 9259 12388 13040 14288 14972 15322 15485 15760 17860 18518 18715 24776 29944 30644 30970 32111 35720 37036 37430 38305 46295 49552 59888 61288 61940 64222 71440 74072 74860 76610 92590 122576 123880 128444 145559 148144 149720 153220 160555 175921 185180 247760 256888 291118 299440 306440 321110 351842 370360 513776 582236 610109 612880 642220 703684 727795 740720 879605 1164472 1220218 1284440 1407368 1455590 1509217 1759210 2328944 2440436 2568880 2814736 2911180 3018434 3050545 3518420 4880872 5822360 6036868 6101090 7036840 7546085 9761744 11644720 12073736 12202180 14073680 15092170 24147472 24404360 28675123 30184340 48808720 57350246 60368680 114700492 120737360 143375615 229400984 286751230 458801968 573502460 1147004920 2294009840