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226303261452 = 223317261118861
BaseRepresentation
bin1101001011000010111…
…0011011101100001100
3210122010110111210221000
43102300232123230030
512201432113331302
6251543504140300
722231001661312
oct3226056335414
9718113453830
10226303261452
1187a7a322904
1237a38607690
1318456862cc8
14ad4b5980b2
155d4777d31c
hex34b0b9bb0c

226303261452 has 144 divisors (see below), whose sum is σ = 633477406240. Its totient is φ = 69832627200.

The previous prime is 226303261439. The next prime is 226303261501. The reversal of 226303261452 is 254162303622.

226303261452 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 0 + 32 + 614 + 5 + 2 = 666.

226303261452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2263032614522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1844502 + ... + 1963362.

Almost surely, 2226303261452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226303261452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316738703120).

226303261452 is an abundant number, since it is smaller than the sum of its proper divisors (407174144788).

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

226303261452 is a wasteful number, since it uses less digits than its factorization.

226303261452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118969 (or 118944 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 226303261452 in words is "two hundred twenty-six billion, three hundred three million, two hundred sixty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 61 68 102 108 122 153 183 204 244 289 306 366 459 549 578 612 732 867 918 1037 1098 1156 1647 1734 1836 2074 2196 2601 3111 3294 3468 4148 5202 6222 6588 7803 9333 10404 12444 15606 17629 18666 27999 31212 35258 37332 52887 55998 70516 105774 111996 118861 158661 211548 237722 317322 356583 475444 475983 634644 713166 951966 1069749 1426332 1903932 2020637 2139498 3209247 4041274 4278996 6061911 6418494 7250521 8082548 12123822 12836988 14501042 18185733 21751563 24247644 29002084 34350829 36371466 43503126 54557199 65254689 68701658 72742932 87006252 103052487 109114398 123258857 130509378 137403316 195764067 206104974 218228796 246517714 261018756 309157461 369776571 391528134 412209948 493035428 618314922 739553142 783056268 927472383 1109329713 1236629844 1479106284 1854944766 2095400569 2218659426 3327989139 3709889532 4190801138 4437318852 6286201707 6655978278 8381602276 12572403414 13311956556 18858605121 25144806828 37717210242 56575815363 75434420484 113151630726 226303261452