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122615070 = 23523832141
BaseRepresentation
bin1110100111011…
…11010100011110
322112201111020220
413103233110132
5222342140240
620100022210
73016132224
oct723572436
9275644226
10122615070
1163238576
1235091966
131c5312c6
14123dab14
15ab705d0
hex74ef51e

122615070 has 64 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 30884480.

The previous prime is 122615069. The next prime is 122615089. The reversal of 122615070 is 70516221.

It is a super-2 number, since 2×1226150702 = 30068910782209800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122615070.

It is a congruent number.

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, 56200 + ... + 58340.

It is an arithmetic number, because the mean of its divisors is an integer number (4858056).

Almost surely, 2122615070 is an apocalyptic number.

122615070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122615070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

122615070 is an abundant number, since it is smaller than the sum of its proper divisors (188300514).

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

122615070 is a wasteful number, since it uses less digits than its factorization.

122615070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 122615070 is about 11073.1689231222. The cubic root of 122615070 is about 496.7996525912.

The spelling of 122615070 in words is "one hundred twenty-two million, six hundred fifteen thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 230 249 345 415 498 690 830 1245 1909 2141 2490 3818 4282 5727 6423 9545 10705 11454 12846 19090 21410 28635 32115 49243 57270 64230 98486 147729 177703 246215 295458 355406 492430 533109 738645 888515 1066218 1477290 1777030 2665545 4087169 5331090 8174338 12261507 20435845 24523014 40871690 61307535 122615070