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122213310 = 23543211449
BaseRepresentation
bin1110100100011…
…01001110111110
322111222002010220
413102031032332
5222241311220
620043242210
73012540012
oct722151676
9274862126
10122213310
1162a9373a
1234b19366
131c42048b
1412334542
15aae1540
hex748d3be

122213310 has 64 divisors (see below), whose sum is σ = 302227200. Its totient is φ = 31610880.

The previous prime is 122213309. The next prime is 122213321. The reversal of 122213310 is 13312221.

It is a super-2 number, since 2×1222133102 = 29872186282312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122213310.

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, 271966 + ... + 272414.

It is an arithmetic number, because the mean of its divisors is an integer number (4722300).

Almost surely, 2122213310 is an apocalyptic number.

122213310 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 122213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151113600).

122213310 is an abundant number, since it is smaller than the sum of its proper divisors (180013890).

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

122213310 is a wasteful number, since it uses less digits than its factorization.

122213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122213310 is about 11055.0128900875. The cubic root of 122213310 is about 496.2564550254.

Adding to 122213310 its reverse (13312221), we get a palindrome (135525531).

The spelling of 122213310 in words is "one hundred twenty-two million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 211 215 258 422 430 449 633 645 898 1055 1266 1290 1347 2110 2245 2694 3165 4490 6330 6735 9073 13470 18146 19307 27219 38614 45365 54438 57921 90730 94739 96535 115842 136095 189478 193070 272190 284217 289605 473695 568434 579210 947390 1421085 2842170 4073777 8147554 12221331 20368885 24442662 40737770 61106655 122213310