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22031244422040 = 2335747558035573
BaseRepresentation
bin1010000001001100011000…
…11111110110101110011000
32220000011111022012110010010
411000212030133312232120
510341424442033001130
6114505003003321520
74432463526520260
oct500461437665630
986004438173103
1022031244422040
117024442139617
1225799772202a0
13c3a6ca988ba9
1456246452a7a0
1528313ad500b0
hex14098c7f6b98

22031244422040 has 128 divisors (see below), whose sum is σ = 77142837749760. Its totient is φ = 4928570171904.

The previous prime is 22031244422027. The next prime is 22031244422041. The reversal of 22031244422040 is 4022444213022.

It is a happy number.

It is a super-3 number, since 3×220312444220403 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22031244421989 and 22031244422007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22031244422041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278978307 + ... + 279057266.

It is an arithmetic number, because the mean of its divisors is an integer number (602678419920).

Almost surely, 222031244422040 is an apocalyptic number.

22031244422040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22031244422040 is an abundant number, since it is smaller than the sum of its proper divisors (55111593327720).

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

22031244422040 is a wasteful number, since it uses less digits than its factorization.

22031244422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558035641 (or 558035637 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22031244422040 its reverse (4022444213022), we get a palindrome (26053688635062).

The spelling of 22031244422040 in words is "twenty-two trillion, thirty-one billion, two hundred forty-four million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 558035573 1116071146 1674106719 2232142292 2790177865 3348213438 3906249011 4464284584 5580355730 6696426876 7812498022 8370533595 11160711460 11718747033 13392853752 15624996044 16741067190 19531245055 22321422920 23437494066 26227671931 31249992088 33482134380 39062490110 46874988132 52455343862 58593735165 66964268760 78124980220 78683015793 93749976264 104910687724 117187470330 131138359655 156249960440 157366031586 183593703517 209821375448 234374940660 262276719310 314732063172 367187407034 393415078965 468749881320 524553438620 550781110551 629464126344 734374814068 786830157930 917968517585 1049106877240 1101562221102 1468749628136 1573660315860 1835937035170 2203124442204 2753905552755 3147320631720 3671874070340 4406248884408 5507811105510 7343748140680 11015622211020 22031244422040