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2145497880 = 233571419601
BaseRepresentation
bin111111111100001…
…1011001100011000
312112112010120210110
41333320123030120
513343221413010
6552521244320
7104111300601
oct17770331430
95475116713
102145497880
11a01094349
124ba6336a0
1328265ac96
14164d30da8
15c8553120
hex7fe1b318

2145497880 has 128 divisors (see below), whose sum is σ = 6553612800. Its totient is φ = 561792000.

The previous prime is 2145497863. The next prime is 2145497987. The reversal of 2145497880 is 887945412.

It is a happy number.

It is a super-2 number, since 2×21454978802 = 9206322306168988800, 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 31 ways as a sum of consecutive naturals, for example, 3569580 + ... + 3570180.

It is an arithmetic number, because the mean of its divisors is an integer number (51200100).

Almost surely, 22145497880 is an apocalyptic number.

2145497880 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 2145497880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276806400).

2145497880 is an abundant number, since it is smaller than the sum of its proper divisors (4408114920).

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

2145497880 is a wasteful number, since it uses less digits than its factorization.

2145497880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 2145497880 is about 46319.5194275588. The cubic root of 2145497880 is about 1289.7613644270.

The spelling of 2145497880 in words is "two billion, one hundred forty-five million, four hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 419 426 568 601 710 838 852 1065 1202 1257 1420 1676 1704 1803 2095 2130 2404 2514 2840 3005 3352 3606 4190 4260 4808 5028 6010 6285 7212 8380 8520 9015 10056 12020 12570 14424 16760 18030 24040 25140 29749 36060 42671 50280 59498 72120 85342 89247 118996 128013 148745 170684 178494 213355 237992 251819 256026 297490 341368 356988 426710 446235 503638 512052 594980 640065 713976 755457 853420 892470 1007276 1024104 1189960 1259095 1280130 1510914 1706840 1784940 2014552 2518190 2560260 3021828 3569880 3777285 5036380 5120520 6043656 7554570 10072760 15109140 17879149 30218280 35758298 53637447 71516596 89395745 107274894 143033192 178791490 214549788 268187235 357582980 429099576 536374470 715165960 1072748940 2145497880