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226414240008 = 233113739675843
BaseRepresentation
bin1101001011011101010…
…1110010000100001000
3210122102012100002212220
43102313111302010020
512202144021140013
6252002510534040
722233520200045
oct3226725620410
9718365302786
10226414240008
1188026a32720
1237a69807320
131847384b8a8
14ad5c2061cc
155d523a0b23
hex34b7572108

226414240008 has 128 divisors (see below), whose sum is σ = 634450821120. Its totient is φ = 66727791360.

The previous prime is 226414239973. The next prime is 226414240021. The reversal of 226414240008 is 800042414622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38746735 + ... + 38752577.

It is an arithmetic number, because the mean of its divisors is an integer number (4956647040).

Almost surely, 2226414240008 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 226414240008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317225410560).

226414240008 is an abundant number, since it is smaller than the sum of its proper divisors (408036581112).

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

226414240008 is a wasteful number, since it uses less digits than its factorization.

226414240008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 226414240008 in words is "two hundred twenty-six billion, four hundred fourteen million, two hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 3967 4884 5843 7934 9768 11686 11901 15868 17529 23372 23802 31736 35058 43637 46744 47604 64273 70116 87274 95208 128546 130911 140232 146779 174548 192819 216191 257092 261822 293558 349096 385638 432382 440337 514184 523644 587116 648573 771276 864764 880674 1047288 1174232 1297146 1542552 1614569 1729528 1761348 2378101 2594292 3229138 3522696 4756202 4843707 5188584 6458276 7134303 9512404 9687414 12916552 14268606 19024808 19374828 23179181 28537212 38749656 46358362 57074424 69537543 92716724 139075086 185433448 254970991 278150172 509941982 556300344 764912973 857629697 1019883964 1529825946 1715259394 2039767928 2572889091 3059651892 3430518788 5145778182 6119303784 6861037576 9433926667 10291556364 18867853334 20583112728 28301780001 37735706668 56603560002 75471413336 113207120004 226414240008