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2554122340 = 22571110116421
BaseRepresentation
bin1001100000111100…
…1101000001100100
320121000000212011201
42120033031001210
520212323403330
61101235412244
7120202452550
oct23017150144
96530025151
102554122340
1110a080aa10
125b3454084
133191cbcc3
141a32dc860
15ee36beca
hex983cd064

2554122340 has 96 divisors (see below), whose sum is σ = 6753777408. Its totient is φ = 788160000.

The previous prime is 2554122293. The next prime is 2554122383. The reversal of 2554122340 is 432214552.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2554122299 and 2554122308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147330 + ... + 163750.

It is an arithmetic number, because the mean of its divisors is an integer number (70351848).

Almost surely, 22554122340 is an apocalyptic number.

2554122340 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 2554122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376888704).

2554122340 is an abundant number, since it is smaller than the sum of its proper divisors (4199655068).

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

2554122340 is a wasteful number, since it uses less digits than its factorization.

2554122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16549 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2554122340 is about 50538.3254570232. The cubic root of 2554122340 is about 1366.9330116100.

Adding to 2554122340 its reverse (432214552), we get a palindrome (2986336892).

It can be divided in two parts, 255412 and 2340, that added together give a palindrome (257752).

The spelling of 2554122340 in words is "two billion, five hundred fifty-four million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 16421 22220 31108 32842 38885 65684 77770 82105 114947 155540 164210 180631 229894 328420 361262 459788 574735 722524 903155 1149470 1264417 1658521 1806310 2298940 2528834 3317042 3612620 5057668 6322085 6634084 8292605 11609647 12644170 16585210 18243731 23219294 25288340 33170420 36487462 46438588 58048235 72974924 91218655 116096470 127706117 182437310 232192940 255412234 364874620 510824468 638530585 1277061170 2554122340