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94122972 = 2234449647
BaseRepresentation
bin1011001110000…
…11001111011100
320120002221110000
411213003033130
5143043413342
613201214300
72222013666
oct547031734
9216087400
1094122972
1149147a89
1227631390
1316666788
14c701536
1583e344c
hex59c33dc

94122972 has 60 divisors (see below), whose sum is σ = 246985200. Its totient is φ = 31256064.

The previous prime is 94122971. The next prime is 94122989. The reversal of 94122972 is 27922149.

It is a super-2 number, since 2×941229722 = 17718267716225568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94122971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145153 + ... + 145799.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 294122972 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 94122972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492600).

94122972 is an abundant number, since it is smaller than the sum of its proper divisors (152862228).

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

94122972 is a wasteful number, since it uses less digits than its factorization.

94122972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1101 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 94122972 is about 9701.6994387581. The cubic root of 94122972 is about 454.8817822730.

The spelling of 94122972 in words is "ninety-four million, one hundred twenty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 449 647 898 1294 1347 1796 1941 2588 2694 3882 4041 5388 5823 7764 8082 11646 12123 16164 17469 23292 24246 34938 36369 48492 52407 69876 72738 104814 145476 209628 290503 581006 871509 1162012 1743018 2614527 3486036 5229054 7843581 10458108 15687162 23530743 31374324 47061486 94122972