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554218420 = 225722919501
BaseRepresentation
bin100001000010001…
…011001110110100
31102121212012202011
4201002023032310
52113334442140
6130554454004
716506531100
oct4102131664
91377765664
10554218420
11264929558
12135734304
138aa895c2
145386a900
15339c7cea
hex2108b3b4

554218420 has 72 divisors (see below), whose sum is σ = 1400633640. Its totient is φ = 183456000.

The previous prime is 554218387. The next prime is 554218421. The reversal of 554218420 is 24812455.

It can be written as a sum of positive squares in 4 ways, for example, as 66161956 + 488056464 = 8134^2 + 22092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554218421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18670 + ... + 38170.

It is an arithmetic number, because the mean of its divisors is an integer number (19453245).

Almost surely, 2554218420 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 554218420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700316820).

554218420 is an abundant number, since it is smaller than the sum of its proper divisors (846415220).

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

554218420 is a wasteful number, since it uses less digits than its factorization.

554218420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19553 (or 19544 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 554218420 is about 23541.8440229307. The cubic root of 554218420 is about 821.4106296342.

The spelling of 554218420 in words is "five hundred fifty-four million, two hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 19501 28420 39002 78004 97505 136507 195010 273014 390020 546028 565529 682535 955549 1131058 1365070 1911098 2262116 2730140 2827645 3822196 3958703 4777745 5655290 7917406 9555490 11310580 15834812 19110980 19793515 27710921 39587030 55421842 79174060 110843684 138554605 277109210 554218420