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224228426440 = 2357376790557
BaseRepresentation
bin1101000011010100001…
…1100100001011001000
3210102202212100021100211
43100311003210023020
512133204434121230
6251001545210504
722125406114534
oct3206503441310
9712685307324
10224228426440
1187105112627
1237559790a34
13181b5a46495
14abd1bbcbc4
155c7553742a
hex34350e42c8

224228426440 has 32 divisors (see below), whose sum is σ = 511425116280. Its totient is φ = 88462720512.

The previous prime is 224228426419. The next prime is 224228426473. The reversal of 224228426440 is 44624822422.

224228426440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121317069636 + 102911356804 = 348306^2 + 320798^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 224228426393 and 224228426402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38392359 + ... + 38398198.

Almost surely, 2224228426440 is an apocalyptic number.

224228426440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224228426440 is an abundant number, since it is smaller than the sum of its proper divisors (287196689840).

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

224228426440 is a wasteful number, since it uses less digits than its factorization.

224228426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76790641 (or 76790637 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

The spelling of 224228426440 in words is "two hundred twenty-four billion, two hundred twenty-eight million, four hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 76790557 153581114 307162228 383952785 614324456 767905570 1535811140 3071622280 5605710661 11211421322 22422842644 28028553305 44845685288 56057106610 112114213220 224228426440