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5314222100 = 225211171914957
BaseRepresentation
bin1001111001100000…
…01001100000010100
3111201100122110020202
410330300021200110
541340420101400
62235154120032
7245456066615
oct47460114024
914640573222
105314222100
1122878157a0
121043880018
13668c98c25
14385ad7c0c
152118244d5
hex13cc09814

5314222100 has 144 divisors (see below), whose sum is σ = 14022227520. Its totient is φ = 1722931200.

The previous prime is 5314222097. The next prime is 5314222127. The reversal of 5314222100 is 12224135.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347822 + ... + 362778.

It is an arithmetic number, because the mean of its divisors is an integer number (97376580).

Almost surely, 25314222100 is an apocalyptic number.

5314222100 is a gapful number since it is divisible by the number (50) 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 5314222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011113760).

5314222100 is an abundant number, since it is smaller than the sum of its proper divisors (8708005420).

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

5314222100 is a wasteful number, since it uses less digits than its factorization.

5314222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15018 (or 15011 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5314222100 is about 72898.7112368936. The cubic root of 5314222100 is about 1745.0715317842.

Adding to 5314222100 its reverse (12224135), we get a palindrome (5326446235).

The spelling of 5314222100 in words is "five billion, three hundred fourteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 19 20 22 25 34 38 44 50 55 68 76 85 95 100 110 170 187 190 209 220 275 323 340 374 380 418 425 475 550 646 748 836 850 935 950 1045 1100 1292 1615 1700 1870 1900 2090 3230 3553 3740 4180 4675 5225 6460 7106 8075 9350 10450 14212 14957 16150 17765 18700 20900 29914 32300 35530 59828 71060 74785 88825 149570 164527 177650 254269 284183 299140 329054 355300 373925 508538 568366 658108 747850 822635 1017076 1136732 1271345 1420915 1495700 1645270 2542690 2796959 2841830 3126013 3290540 4113175 4831111 5085380 5593918 5683660 6252026 6356725 7104575 8226350 9662222 11187836 12504052 12713450 13984795 14209150 15630065 16452700 19324444 24155555 25426900 27969590 28418300 31260130 48311110 53142221 55939180 62520260 69923975 78150325 96622220 106284442 120777775 139847950 156300650 212568884 241555550 265711105 279695900 312601300 483111100 531422210 1062844420 1328555525 2657111050 5314222100