Search a number
-
+
10314024220 = 22519671932099
BaseRepresentation
bin10011001101100001…
…11000010100011100
3222121210122201101001
421212300320110130
5132110342233340
64423241200044
7513406521313
oct114660702434
928553581331
1010314024220
114412aa8065
121bba190024
13c84a88716
146dbb4727a
1540573c29a
hex266c3851c

10314024220 has 96 divisors (see below), whose sum is σ = 23270688000. Its totient is φ = 3828363264.

The previous prime is 10314024197. The next prime is 10314024233. The reversal of 10314024220 is 2242041301.

It is a super-2 number, since 2×103140242202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 4912731 + ... + 4914829.

It is an arithmetic number, because the mean of its divisors is an integer number (242403000).

Almost surely, 210314024220 is an apocalyptic number.

10314024220 is a gapful number since it is divisible by the number (10) 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 10314024220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635344000).

10314024220 is an abundant number, since it is smaller than the sum of its proper divisors (12956663780).

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

10314024220 is a wasteful number, since it uses less digits than its factorization.

10314024220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10314024220 its reverse (2242041301), we get a palindrome (12556065521).

The spelling of 10314024220 in words is "ten billion, three hundred fourteen million, twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 193 268 335 380 386 670 772 965 1273 1340 1930 2099 2546 3667 3860 4198 5092 6365 7334 8396 10495 12730 12931 14668 18335 20990 25460 25862 36670 39881 41980 51724 64655 73340 79762 129310 140633 159524 199405 245689 258620 281266 398810 405107 491378 562532 703165 797620 810214 982756 1228445 1406330 1620428 2025535 2456890 2672027 2812660 4051070 4913780 5344054 7697033 8102140 10688108 13360135 15394066 26720270 27142169 30788132 38485165 53440540 54284338 76970330 108568676 135710845 153940660 271421690 515701211 542843380 1031402422 2062804844 2578506055 5157012110 10314024220