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122239936 = 26713139151
BaseRepresentation
bin1110100100100…
…11101111000000
322112000102200001
413102103233000
5222243134221
620044005344
73013010440
oct722235700
9275012601
10122239936
1163001745
1234b30854
131c42c630
1412340120
15aae9391
hex7493bc0

122239936 has 112 divisors (see below), whose sum is σ = 302686720. Its totient is φ = 47692800.

The previous prime is 122239891. The next prime is 122239951. The reversal of 122239936 is 639932221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 122239895 and 122239904.

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 15 ways as a sum of consecutive naturals, for example, 809461 + ... + 809611.

It is an arithmetic number, because the mean of its divisors is an integer number (2702560).

Almost surely, 2122239936 is an apocalyptic number.

122239936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122239936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151343360).

122239936 is an abundant number, since it is smaller than the sum of its proper divisors (180446784).

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

122239936 is a wasteful number, since it uses less digits than its factorization.

122239936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 34992, while the sum is 37.

The square root of 122239936 is about 11056.2170745694. The cubic root of 122239936 is about 496.2924913756.

The spelling of 122239936 in words is "one hundred twenty-two million, two hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 139 151 182 208 224 278 302 364 416 448 556 604 728 832 973 1057 1112 1208 1456 1807 1946 1963 2114 2224 2416 2912 3614 3892 3926 4228 4448 4832 5824 7228 7784 7852 8456 8896 9664 12649 13741 14456 15568 15704 16912 20989 25298 27482 28912 31136 31408 33824 41978 50596 54964 57824 62272 62816 67648 83956 101192 109928 115648 125632 146923 167912 202384 219856 272857 293846 335824 404768 439712 545714 587692 671648 809536 879424 1091428 1175384 1343296 1909999 2182856 2350768 3819998 4365712 4701536 7639996 8731424 9403072 15279992 17462848 30559984 61119968 122239936