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228438029652 = 223717612622469
BaseRepresentation
bin1101010010111111110…
…1111011010101010100
3210211122020110021100220
43110233331323111110
512220320113422102
6252535403434340
722334623133310
oct3245775732524
9724566407326
10228438029652
1188975348848
12383335259b0
1318706c05261
14b0b0cd4b40
155e1edb21bc
hex352ff7b554

228438029652 has 96 divisors (see below), whose sum is σ = 655575540480. Its totient is φ = 60421662720.

The previous prime is 228438029597. The next prime is 228438029657. The reversal of 228438029652 is 256920834822.

228438029652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2284380296522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 228438029595 and 228438029604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228438029657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224127 + ... + 1398342.

It is an arithmetic number, because the mean of its divisors is an integer number (6828911880).

Almost surely, 2228438029652 is an apocalyptic number.

It is an amenable number.

228438029652 is an abundant number, since it is smaller than the sum of its proper divisors (427137510828).

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

228438029652 is a wasteful number, since it uses less digits than its factorization.

228438029652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622561 (or 2622559 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 228438029652 in words is "two hundred twenty-eight billion, four hundred thirty-eight million, twenty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 61 68 84 102 119 122 183 204 238 244 357 366 427 476 714 732 854 1037 1281 1428 1708 2074 2562 3111 4148 5124 6222 7259 12444 14518 21777 29036 43554 87108 2622469 5244938 7867407 10489876 15734814 18357283 31469628 36714566 44581973 55071849 73429132 89163946 110143698 133745919 159970609 178327892 220287396 267491838 312073811 319941218 479911827 534983676 624147622 639882436 936221433 959823654 1119794263 1248295244 1872442866 1919647308 2239588526 2719500353 3359382789 3744885732 4479177052 5439000706 6718765578 8158501059 10878001412 13437531156 16317002118 19036502471 32634004236 38073004942 57109507413 76146009884 114219014826 228438029652