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226066542 = 231329139719
BaseRepresentation
bin11010111100110…
…00000001101110
3120202101100222220
431132120001232
5430333112132
634233220210
75413351062
oct1536300156
9522340886
10226066542
11106677159
1263861666
1337ab2ab0
1422049aa2
1514ca7a2c
hexd79806e

226066542 has 64 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 66584448.

The previous prime is 226066531. The next prime is 226066553. The reversal of 226066542 is 245660622.

226066542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226066531) and next prime (226066553).

It is a super-2 number, since 2×2260665422 = 102212162823675528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314059 + ... + 314777.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2226066542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226066542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

226066542 is an abundant number, since it is smaller than the sum of its proper divisors (281965458).

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

226066542 is a wasteful number, since it uses less digits than its factorization.

226066542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 226066542 is about 15035.5093694893. The cubic root of 226066542 is about 609.1797108232.

The spelling of 226066542 in words is "two hundred twenty-six million, sixty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 139 174 278 377 417 719 754 834 1131 1438 1807 2157 2262 3614 4031 4314 5421 8062 9347 10842 12093 18694 20851 24186 28041 41702 52403 56082 62553 99941 104806 125106 157209 199882 271063 299823 314418 542126 599646 813189 1299233 1626378 2598466 2898289 3897699 5796578 7795398 8694867 17389734 37677757 75355514 113033271 226066542