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2190522880 = 2957139403
BaseRepresentation
bin1000001010010000…
…1011101000000000
312122122212002111001
42002210023220000
513441233213010
61001210301344
7105166065040
oct20244135000
95578762431
102190522880
11a24547297
12511727854
1328ba93ab0
1416acd1720
15cc498c3a
hex8290ba00

2190522880 has 160 divisors (see below), whose sum is σ = 6464836224. Its totient is φ = 693190656.

The previous prime is 2190522853. The next prime is 2190522881. The reversal of 2190522880 is 882250912.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190522881) 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, 228259 + ... + 237661.

Almost surely, 22190522880 is an apocalyptic number.

2190522880 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 2190522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232418112).

2190522880 is an abundant number, since it is smaller than the sum of its proper divisors (4274313344).

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

2190522880 is an equidigital number, since it uses as much as digits as its factorization.

2190522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 9430 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 2190522880 is about 46803.0221246449. The cubic root of 2190522880 is about 1298.7212040131.

The spelling of 2190522880 in words is "two billion, one hundred ninety million, five hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 512 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2560 2912 3328 3584 3640 4160 4480 5824 6656 7280 8320 8960 9403 11648 14560 16640 17920 18806 23296 29120 33280 37612 46592 47015 58240 65821 75224 94030 116480 122239 131642 150448 188060 232960 244478 263284 300896 329105 376120 488956 526568 601792 611195 658210 752240 855673 977912 1053136 1203584 1222390 1316420 1504480 1711346 1955824 2106272 2407168 2444780 2632840 3008960 3422692 3911648 4212544 4278365 4814336 4889560 5265680 6017920 6845384 7823296 8425088 8556730 9779120 10531360 12035840 13690768 15646592 16850176 17113460 19558240 21062720 24071680 27381536 31293184 33700352 34226920 39116480 42125440 54763072 62586368 68453840 78232960 84250880 109526144 136907680 156465920 168501760 219052288 273815360 312931840 438104576 547630720 1095261440 2190522880