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226006252164 = 22347119059093
BaseRepresentation
bin1101001001111100000…
…1011011101010000100
3210121100202122011210000
43102133001123222010
512200330100032124
6251454214201300
722220434306110
oct3223701335204
9717322564700
10226006252164
1187937701390
1237975053230
131840a171574
14ad1dd62740
155d2b6606c9
hex349f05ba84

226006252164 has 120 divisors (see below), whose sum is σ = 736613051328. Its totient is φ = 58702916160.

The previous prime is 226006252141. The next prime is 226006252183. The reversal of 226006252164 is 461252600622.

226006252164 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 0 + 625 + 21 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4504599 + ... + 4554494.

Almost surely, 2226006252164 is an apocalyptic number.

It is an amenable number.

226006252164 is an abundant number, since it is smaller than the sum of its proper divisors (510606799164).

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

226006252164 is a wasteful number, since it uses less digits than its factorization.

226006252164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059127 (or 9059116 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 226006252164 its reverse (461252600622), we get a palindrome (687258852786).

The spelling of 226006252164 in words is "two hundred twenty-six billion, six million, two hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 9059093 18118186 27177279 36236372 54354558 63413651 81531837 99650023 108709116 126827302 163063674 190240953 199300046 244595511 253654604 298950069 326127348 380481906 398600092 489191022 570722859 597900138 697550161 733786533 760963812 896850207 978382044 1141445718 1195800276 1395100322 1467573066 1712168577 1793700414 2092650483 2282891436 2690550621 2790200644 2935146132 3424337154 3587400828 4185300966 5136505731 5381101242 6277951449 6848674308 8071651863 8370601932 10273011462 10762202484 12555902898 16143303726 18833854347 20546022924 25111805796 32286607452 37667708694 56501563041 75335417388 113003126082 226006252164