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2123054592 = 2933144587
BaseRepresentation
bin111111010001011…
…0011111000000000
312110221220100101120
41332202303320000
513322000221332
6550400232240
7103416444351
oct17642637000
95427810346
102123054592
1199a45537a
124b300b680
1327ab00729
14161d6bd28
15c65bd32c
hex7e8b3e00

2123054592 has 80 divisors (see below), whose sum is σ = 5838531072. Its totient is φ = 684840960.

The previous prime is 2123054587. The next prime is 2123054597. The reversal of 2123054592 is 2954503212.

It is an interprime number because it is at equal distance from previous prime (2123054587) and next prime (2123054597).

It is a super-2 number, since 2×21230545922 = 9014721601224572928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123054597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25323 + ... + 69909.

Almost surely, 22123054592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123054592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919265536).

2123054592 is an abundant number, since it is smaller than the sum of its proper divisors (3715476480).

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

2123054592 is an equidigital number, since it uses as much as digits as its factorization.

2123054592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44639 (or 44623 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2123054592 is about 46076.6165424502. The cubic root of 2123054592 is about 1285.2483467775.

The spelling of 2123054592 in words is "two billion, one hundred twenty-three million, fifty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 11904 15872 23808 44587 47616 89174 133761 178348 267522 356696 535044 713392 1070088 1382197 1426784 2140176 2764394 2853568 4146591 4280352 5528788 5707136 8293182 8560704 11057576 11414272 16586364 17121408 22115152 22828544 33172728 34242816 44230304 66345456 68485632 88460608 132690912 176921216 265381824 353842432 530763648 707684864 1061527296 2123054592