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226202040 = 233253120269
BaseRepresentation
bin11010111101110…
…01000110111000
3120202122020212100
431132321012320
5430401431130
634240143400
75414454111
oct1536710670
9522566770
10226202040
11106759a39
1263907b60
1337b2c67c
1422083208
1514cd2c60
hexd7b91b8

226202040 has 96 divisors (see below), whose sum is σ = 758908800. Its totient is φ = 58371840.

The previous prime is 226202027. The next prime is 226202069. The reversal of 226202040 is 40202622.

It is a happy number.

226202040 is a `hidden beast` number, since 2 + 2 + 620 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026 + ... + 21294.

It is an arithmetic number, because the mean of its divisors is an integer number (7905300).

Almost surely, 2226202040 is an apocalyptic number.

226202040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379454400).

226202040 is an abundant number, since it is smaller than the sum of its proper divisors (532706760).

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

226202040 is a wasteful number, since it uses less digits than its factorization.

226202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20317 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 226202040 is about 15040.0146276525. The cubic root of 226202040 is about 609.3013949757.

Adding to 226202040 its reverse (40202622), we get a palindrome (266404662).

The spelling of 226202040 in words is "two hundred twenty-six million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 20269 40538 60807 81076 101345 121614 162152 182421 202690 243228 304035 364842 405380 486456 608070 628339 729684 810760 912105 1216140 1256678 1459368 1824210 1885017 2432280 2513356 3141695 3648420 3770034 5026712 5655051 6283390 7296840 7540068 9425085 11310102 12566780 15080136 18850170 22620204 25133560 28275255 37700340 45240408 56550510 75400680 113101020 226202040