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226031742 = 23329374783
BaseRepresentation
bin11010111100011…
…11100001111110
3120202022121021000
431132033201332
5430331003432
634232351130
75413144446
oct1536174176
9522277230
10226031742
11106652aa2
12638454a6
1337a9ccc1
142203b126
1514c9c57c
hexd78f87e

226031742 has 128 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 68439168.

The previous prime is 226031737. The next prime is 226031747. The reversal of 226031742 is 247130622.

226031742 is a `hidden beast` number, since 2 + 2 + 603 + 17 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (226031737) and next prime (226031747).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226031747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2723233 + ... + 2723315.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2226031742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226031742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

226031742 is an abundant number, since it is smaller than the sum of its proper divisors (325545858).

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

226031742 is a wasteful number, since it uses less digits than its factorization.

226031742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 226031742 is about 15034.3520645221. The cubic root of 226031742 is about 609.1484507915.

The spelling of 226031742 in words is "two hundred twenty-six million, thirty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 37 47 54 58 74 83 87 94 111 141 166 174 222 249 261 282 333 423 498 522 666 747 783 846 999 1073 1269 1363 1494 1566 1739 1998 2146 2241 2407 2538 2726 3071 3219 3478 3901 4089 4482 4814 5217 6142 6438 7221 7802 8178 9213 9657 10434 11703 12267 14442 15651 18426 19314 21663 23406 24534 27639 28971 31302 35109 36801 43326 46953 50431 55278 57942 64989 70218 73602 82917 89059 93906 100862 105327 113129 129978 144337 151293 165834 178118 210654 226258 267177 288674 302586 339387 433011 453879 534354 678774 801531 866022 907758 1018161 1299033 1361637 1603062 2036322 2404593 2598066 2723274 3054483 3897099 4185773 4809186 6108966 7794198 8371546 12557319 25114638 37671957 75343914 113015871 226031742