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225126061116 = 223119735474957
BaseRepresentation
bin1101000110101010001…
…1110001010000111100
3210112002102101211122120
43101222203301100330
512142024232423431
6251231012442540
722156555642335
oct3215243612074
9715072354576
10225126061116
1187525879870
123776a319450
13182c99c2368
14ac790c128c
155cc9248196
hex346a8f143c

225126061116 has 96 divisors (see below), whose sum is σ = 579235921152. Its totient is φ = 67484067840.

The previous prime is 225126061073. The next prime is 225126061129. The reversal of 225126061116 is 611160621522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45413310 + ... + 45418266.

It is an arithmetic number, because the mean of its divisors is an integer number (6033707512).

Almost surely, 2225126061116 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 225126061116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289617960576).

225126061116 is an abundant number, since it is smaller than the sum of its proper divisors (354109860036).

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

225126061116 is a wasteful number, since it uses less digits than its factorization.

225126061116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 225126061116 its reverse (611160621522), we get a palindrome (836286682638).

The spelling of 225126061116 in words is "two hundred twenty-five billion, one hundred twenty-six million, sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 3547 4268 4957 6402 7094 9914 10641 12804 14188 14871 19828 21282 29742 39017 42564 54527 59484 78034 109054 117051 156068 163581 218108 234102 327162 344059 468204 480829 654324 688118 961658 1032177 1376236 1442487 1923316 2064354 2884974 3784649 4128708 5289119 5769948 7569298 10578238 11353947 15138596 15867357 17582479 21156476 22707894 31734714 35164958 45415788 52747437 63469428 70329916 105494874 193407269 210989748 386814538 580221807 773629076 1160443614 1705500463 2320887228 3411000926 5116501389 6822001852 10233002778 18760505093 20466005556 37521010186 56281515279 75042020372 112563030558 225126061116