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2554220416 = 27117922963
BaseRepresentation
bin1001100000111110…
…0100111110000000
320121000012211201011
42120033210332000
520212340023131
61101241450304
7120203341516
oct23017447600
96530184634
102554220416
1110a0877670
125b34a0994
13319234837
141a33264b6
15ee38b0b1
hex983e4f80

2554220416 has 64 divisors (see below), whose sum is σ = 5621587200. Its totient is φ = 1146263040.

The previous prime is 2554220413. The next prime is 2554220441. The reversal of 2554220416 is 6140224552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×25542204162 = 13048083867022426112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554220413) 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, 99751 + ... + 122713.

It is an arithmetic number, because the mean of its divisors is an integer number (87837300).

Almost surely, 22554220416 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 2554220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810793600).

2554220416 is an abundant number, since it is smaller than the sum of its proper divisors (3067366784).

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

2554220416 is a wasteful number, since it uses less digits than its factorization.

2554220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23067 (or 23055 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2554220416 is about 50539.2957608236. The cubic root of 2554220416 is about 1366.9505077187.

Adding to 2554220416 its reverse (6140224552), we get a palindrome (8694444968).

The spelling of 2554220416 in words is "two billion, five hundred fifty-four million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 316 352 632 704 869 1264 1408 1738 2528 3476 5056 6952 10112 13904 22963 27808 45926 55616 91852 111232 183704 252593 367408 505186 734816 1010372 1469632 1814077 2020744 2939264 3628154 4041488 7256308 8082976 14512616 16165952 19954847 29025232 32331904 39909694 58050464 79819388 116100928 159638776 232201856 319277552 638555104 1277110208 2554220416