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22243434132204 = 223229671979160687
BaseRepresentation
bin1010000111010111100111…
…11111010111001011101100
32220202110012011120120101100
411003223303333113023230
510403414023114212304
6115150254221243100
74454015014351005
oct503536377271354
986673164516340
1022243434132204
1170a642975644a
1225b2b15103490
13c547155333cc
1456c8334d01ac
1528890951a439
hex143af3fd72ec

22243434132204 has 144 divisors (see below), whose sum is σ = 59063638233600. Its totient is φ = 7048351271808.

The previous prime is 22243434132173. The next prime is 22243434132239. The reversal of 22243434132204 is 40223143434222.

22243434132204 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 3 + 434 + 13 + 2 + 204 = 666.

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

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, 138346749 + ... + 138507435.

It is an arithmetic number, because the mean of its divisors is an integer number (410164154400).

Almost surely, 222243434132204 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 22243434132204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29531819116800).

22243434132204 is an abundant number, since it is smaller than the sum of its proper divisors (36820204101396).

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

22243434132204 is a wasteful number, since it uses less digits than its factorization.

22243434132204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162772 (or 162767 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 22243434132204 its reverse (40223143434222), we get a palindrome (62466577566426).

The spelling of 22243434132204 in words is "twenty-two trillion, two hundred forty-three billion, four hundred thirty-four million, one hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 67 87 116 134 174 201 261 268 348 402 522 603 804 1044 1206 1943 1979 2412 3886 3958 5829 5937 7772 7916 11658 11874 17487 17811 23316 23748 34974 35622 57391 69948 71244 114782 132593 160687 172173 229564 265186 321374 344346 397779 482061 516519 530372 642748 688692 795558 964122 1033038 1193337 1446183 1591116 1928244 2066076 2386674 2892366 3845197 4659923 4773348 5784732 7690394 9319846 10766029 11535591 13979769 15380788 18639692 21532058 23071182 27959538 32298087 34606773 41939307 43064116 46142364 55919076 64596174 69213546 83878614 96894261 129192348 138427092 167757228 193788522 312214841 317999573 387577044 624429682 635999146 936644523 953998719 1248859364 1271998292 1873289046 1907997438 2809933569 2861996157 3746578092 3815994876 5619867138 5723992314 9221987617 11239734276 11447984628 18443975234 21305971391 27665962851 36887950468 42611942782 55331925702 63917914173 82997888553 85223885564 110663851404 127835828346 165995777106 191753742519 255671656692 331991554212 383507485038 617873170339 767014970076 1235746340678 1853619511017 2471492681356 3707239022034 5560858533051 7414478044068 11121717066102 22243434132204