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2214973280 = 255135918049
BaseRepresentation
bin1000010000000101…
…1100111101100000
312201100212022010102
42010001130331200
514014013121110
61003442321532
7105613651022
oct20401347540
95640768112
102214973280
11a37327233
125199592a8
13293b74aa0
14170258012
15ce6c85a5
hex8405cf60

2214973280 has 96 divisors (see below), whose sum is σ = 5731236000. Its totient is φ = 803930112.

The previous prime is 2214973273. The next prime is 2214973303. The reversal of 2214973280 is 823794122.

It is a super-2 number, since 2×22149732802 = 9812213262227916800, which contains 22 as substring.

It is a congruent number.

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, 113696 + ... + 131744.

It is an arithmetic number, because the mean of its divisors is an integer number (59700375).

Almost surely, 22214973280 is an apocalyptic number.

2214973280 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 2214973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865618000).

2214973280 is an abundant number, since it is smaller than the sum of its proper divisors (3516262720).

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

2214973280 is a wasteful number, since it uses less digits than its factorization.

2214973280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18136 (or 18128 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2214973280 is about 47063.5026320821. The cubic root of 2214973280 is about 1303.5354022566.

The spelling of 2214973280 in words is "two billion, two hundred fourteen million, nine hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 65 80 104 118 130 160 208 236 260 295 416 472 520 590 767 944 1040 1180 1534 1888 2080 2360 3068 3835 4720 6136 7670 9440 12272 15340 18049 24544 30680 36098 61360 72196 90245 122720 144392 180490 234637 288784 360980 469274 577568 721960 938548 1064891 1173185 1443920 1877096 2129782 2346370 2887840 3754192 4259564 4692740 5324455 7508384 8519128 9385480 10648910 13843583 17038256 18770960 21297820 27687166 34076512 37541920 42595640 55374332 69217915 85191280 110748664 138435830 170382560 221497328 276871660 442994656 553743320 1107486640 2214973280