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2125434430 = 257192241349
BaseRepresentation
bin111111010101111…
…1000111000111110
312111010101020220201
41332223320320332
513323102400210
6550523234114
7103445615560
oct17653707076
95433336821
102125434430
119a0830389
124b397893a
1327b454a12
141623cb330
15c68dd53a
hex7eaf8e3e

2125434430 has 96 divisors (see below), whose sum is σ = 4646980800. Its totient is φ = 685532160.

The previous prime is 2125434419. The next prime is 2125434463. The reversal of 2125434430 is 344345212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6089896 + ... + 6090244.

It is an arithmetic number, because the mean of its divisors is an integer number (48406050).

Almost surely, 22125434430 is an apocalyptic number.

2125434430 is an abundant number, since it is smaller than the sum of its proper divisors (2521546370).

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

2125434430 is a wasteful number, since it uses less digits than its factorization.

2125434430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2125434430 is about 46102.4341005982. The cubic root of 2125434430 is about 1285.7284004858.

Adding to 2125434430 its reverse (344345212), we get a palindrome (2469779642).

The spelling of 2125434430 in words is "two billion, one hundred twenty-five million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 241 266 349 361 482 665 698 722 1205 1330 1687 1745 1805 2410 2443 2527 3374 3490 3610 4579 4886 5054 6631 8435 9158 12215 12635 13262 16870 22895 24430 25270 32053 33155 45790 46417 64106 66310 84109 87001 92834 125989 160265 168218 174002 232085 251978 320530 420545 435005 464170 588763 609007 629945 841090 870010 881923 1177526 1218014 1259890 1598071 1763846 2943815 3045035 3196142 4409615 5887630 6090070 7990355 8819230 11186497 15980710 22372994 30363349 55932485 60726698 111864970 151816745 212543443 303633490 425086886 1062717215 2125434430