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122266716 = 2231113431657
BaseRepresentation
bin1110100100110…
…10010001011100
322112001210101220
413102122101130
5222300013331
620044333340
73013151505
oct722322134
9275053356
10122266716
116301a880
1234b44250
131c43b890
1412349bac
15ab02296
hex749a45c

122266716 has 96 divisors (see below), whose sum is σ = 343166208. Its totient is φ = 33384960.

The previous prime is 122266681. The next prime is 122266777. The reversal of 122266716 is 617662221.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72960 + ... + 74616.

It is an arithmetic number, because the mean of its divisors is an integer number (3574648).

Almost surely, 2122266716 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 122266716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171583104).

122266716 is an abundant number, since it is smaller than the sum of its proper divisors (220899492).

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

122266716 is a wasteful number, since it uses less digits than its factorization.

122266716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1729 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 122266716 is about 11057.4280915591. The cubic root of 122266716 is about 496.3287308756.

The spelling of 122266716 in words is "one hundred twenty-two million, two hundred sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 43 44 52 66 78 86 129 132 143 156 172 258 286 429 473 516 559 572 858 946 1118 1419 1657 1677 1716 1892 2236 2838 3314 3354 4971 5676 6149 6628 6708 9942 12298 18227 18447 19884 21541 24596 36454 36894 43082 54681 64623 71251 72908 73788 86164 109362 129246 142502 213753 218724 236951 258492 285004 427506 473902 710853 783761 855012 926263 947804 1421706 1567522 1852526 2351283 2778789 2843412 3135044 3705052 4702566 5557578 9405132 10188893 11115156 20377786 30566679 40755572 61133358 122266716