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2122720768 = 2972211401
BaseRepresentation
bin111111010000110…
…0010011000000000
312110221021101110201
41332201202120000
513321404031033
6550345134544
7103413554200
oct17641423000
95427241421
102122720768
1199a247593
124b2a8a454
1327aa147bc
14161cc2400
15c655447d
hex7e862600

2122720768 has 120 divisors (see below), whose sum is σ = 4969496664. Its totient is φ = 903168000.

The previous prime is 2122720751. The next prime is 2122720771. The reversal of 2122720768 is 8670272212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5293368 + ... + 5293768.

Almost surely, 22122720768 is an apocalyptic number.

2122720768 is a gapful number since it is divisible by the number (28) 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 2122720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484748332).

2122720768 is an abundant number, since it is smaller than the sum of its proper divisors (2846775896).

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

2122720768 is an equidigital number, since it uses as much as digits as its factorization.

2122720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 2122720768 is about 46072.9939118352. The cubic root of 2122720768 is about 1285.1809801265.

The spelling of 2122720768 in words is "two billion, one hundred twenty-two million, seven hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 211 224 256 392 401 422 448 512 784 802 844 896 1477 1568 1604 1688 1792 2807 2954 3136 3208 3376 3584 5614 5908 6272 6416 6752 10339 11228 11816 12544 12832 13504 19649 20678 22456 23632 25088 25664 27008 39298 41356 44912 47264 51328 54016 78596 82712 84611 89824 94528 102656 108032 157192 165424 169222 179648 189056 205312 314384 330848 338444 359296 378112 592277 628768 661696 676888 718592 756224 1184554 1257536 1323392 1353776 1437184 2369108 2515072 2646784 2707552 4145939 4738216 5030144 5293568 5415104 8291878 9476432 10060288 10830208 16583756 18952864 21660416 33167512 37905728 43320832 66335024 75811456 132670048 151622912 265340096 303245824 530680192 1061360384 2122720768