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2554234144 = 257111954559
BaseRepresentation
bin1001100000111110…
…1000010100100000
320121000020112112121
42120033220110200
520212340443034
61101242034024
7120203426530
oct23017502440
96530215477
102554234144
1110a0886a10
125b34a8914
1331923ab67
141a332b4c0
15ee3901b4
hex983e8520

2554234144 has 96 divisors (see below), whose sum is σ = 6599577600. Its totient is φ = 942762240.

The previous prime is 2554234093. The next prime is 2554234211. The reversal of 2554234144 is 4414324552.

It is a super-2 number, since 2×25542341442 = 13048224124750825472, which contains 22 as substring.

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, 19537 + ... + 74095.

It is an arithmetic number, because the mean of its divisors is an integer number (68745600).

Almost surely, 22554234144 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 2554234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299788800).

2554234144 is an abundant number, since it is smaller than the sum of its proper divisors (4045343456).

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

2554234144 is a wasteful number, since it uses less digits than its factorization.

2554234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54606 (or 54598 counting only the distinct ones).

The product of its digits is 76800, while the sum is 34.

The square root of 2554234144 is about 50539.4315757508. The cubic root of 2554234144 is about 1366.9529566672.

Adding to 2554234144 its reverse (4414324552), we get a palindrome (6968558696).

The spelling of 2554234144 in words is "two billion, five hundred fifty-four million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2926 3344 4256 5852 6688 11704 23408 46816 54559 109118 218236 381913 436472 600149 763826 872944 1036621 1200298 1527652 1745888 2073242 2400596 3055304 4146484 4201043 4801192 6110608 7256347 8292968 8402086 9602384 11402831 12221216 14512694 16585936 16804172 19204768 22805662 29025388 33171872 33608344 45611324 58050776 67216688 79819817 91222648 116101552 134433376 159639634 182445296 232203104 319279268 364890592 638558536 1277117072 2554234144