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220314402 = 232711413877
BaseRepresentation
bin11010010000110…
…11101100100010
3120100120010112200
431020123230202
5422400030102
633510034030
75313433020
oct1510335442
9510503480
10220314402
111033a8520
1261948916
133684a869
142138d710
151451d51c
hexd21bb22

220314402 has 96 divisors (see below), whose sum is σ = 609807744. Its totient is φ = 55814400.

The previous prime is 220314389. The next prime is 220314403. The reversal of 220314402 is 204413022.

220314402 is a `hidden beast` number, since 220 + 3 + 1 + 440 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220314403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54888 + ... + 58764.

It is an arithmetic number, because the mean of its divisors is an integer number (6352164).

Almost surely, 2220314402 is an apocalyptic number.

220314402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220314402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304903872).

220314402 is an abundant number, since it is smaller than the sum of its proper divisors (389493342).

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

220314402 is a wasteful number, since it uses less digits than its factorization.

220314402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220314402 is about 14842.9916795773. The cubic root of 220314402 is about 603.9685103388.

Adding to 220314402 its reverse (204413022), we get a palindrome (424727424).

The spelling of 220314402 in words is "two hundred twenty million, three hundred fourteen thousand, four hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 77 82 99 123 126 154 198 231 246 287 369 451 462 574 693 738 861 902 1353 1386 1722 2583 2706 3157 3877 4059 5166 6314 7754 8118 9471 11631 18942 23262 27139 28413 34893 42647 54278 56826 69786 81417 85294 127941 158957 162834 244251 255882 298529 317914 383823 476871 488502 597058 767646 895587 953742 1112699 1430613 1748527 1791174 2225398 2686761 2861226 3338097 3497054 5245581 5373522 6676194 10014291 10491162 12239689 15736743 20028582 24479378 31473486 36719067 73438134 110157201 220314402