Search a number
-
+
422378873224 = 2371117306713151
BaseRepresentation
bin1100010010101111011…
…11100010000110001000
31111101020022100220211021
412021113233202012020
523410012442420344
6522012125042224
742341641120240
oct6112757420610
91441208326737
10422378873224
11153147954050
1269a399b6374
1330aa3b15669
141662c3a8b20
15aec1415b84
hex6257be2188

422378873224 has 128 divisors (see below), whose sum is σ = 1045880709120. Its totient is φ = 154820736000.

The previous prime is 422378873219. The next prime is 422378873237.

422378873224 is nontrivially palindromic in base 10.

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, 32111049 + ... + 32124199.

It is an arithmetic number, because the mean of its divisors is an integer number (8170943040).

Almost surely, 2422378873224 is an apocalyptic number.

422378873224 is a gapful number since it is divisible by the number (44) 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 422378873224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522940354560).

422378873224 is an abundant number, since it is smaller than the sum of its proper divisors (623501835896).

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

422378873224 is a wasteful number, since it uses less digits than its factorization.

422378873224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16259 (or 16255 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 52.

The spelling of 422378873224 in words is "four hundred twenty-two billion, three hundred seventy-eight million, eight hundred seventy-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 3067 5236 6134 10472 12268 13151 21469 24536 26302 33737 42938 52139 52604 67474 85876 92057 104278 105208 134948 144661 171752 184114 208556 223567 236159 269896 289322 364973 368228 417112 447134 472318 573529 578644 729946 736456 894268 944636 1012627 1147058 1157288 1459892 1564969 1788536 1889272 2025254 2294116 2459237 2919784 3129938 4014703 4050508 4588232 4918474 6259876 8029406 8101016 9836948 12519752 16058812 17214659 19673896 32117624 34429318 40334117 68858636 80668234 137717272 161336468 282338819 322672936 443675287 564677638 685679989 887350574 1129355276 1371359978 1774701148 2258710552 2742719956 3105727009 3549402296 4799759923 5485439912 6211454018 7542479879 9599519846 12422908036 15084959758 19199039692 24845816072 30169919516 38398079384 52797359153 60339839032 105594718306 211189436612 422378873224