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2122276640 = 2551110111939
BaseRepresentation
bin111111001111111…
…0101111100100000
312110220102211020112
41332133311330200
513321300323030
6550331430452
7103410024311
oct17637657440
95426384215
102122276640
11999a73940
124b28b5428
1327a8ba5c3
14161c08608
15c64b7a95
hex7e7f5f20

2122276640 has 96 divisors (see below), whose sum is σ = 5524303680. Its totient is φ = 764032000.

The previous prime is 2122276601. The next prime is 2122276729. The reversal of 2122276640 is 466722212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2122276597 and 2122276606.

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, 171791 + ... + 183729.

It is an arithmetic number, because the mean of its divisors is an integer number (57544830).

Almost surely, 22122276640 is an apocalyptic number.

2122276640 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 2122276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762151840).

2122276640 is an abundant number, since it is smaller than the sum of its proper divisors (3402027040).

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

2122276640 is a wasteful number, since it uses less digits than its factorization.

2122276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2122276640 is about 46068.1738296625. The cubic root of 2122276640 is about 1285.0913428586.

Adding to 2122276640 its reverse (466722212), we get a palindrome (2588998852).

The spelling of 2122276640 in words is "two billion, one hundred twenty-two million, two hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 11939 16160 17776 22220 23878 35552 44440 47756 59695 88880 95512 119390 131329 177760 191024 238780 262658 382048 477560 525316 656645 955120 1050632 1205839 1313290 1910240 2101264 2411678 2626580 4202528 4823356 5253160 6029195 9646712 10506320 12058390 13264229 19293424 21012640 24116780 26528458 38586848 48233560 53056916 66321145 96467120 106113832 132642290 192934240 212227664 265284580 424455328 530569160 1061138320 2122276640