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41522221520 = 24513192101327
BaseRepresentation
bin100110101010111010…
…101101000111010000
310222011202101101212022
4212222322231013100
51140014142042040
631024113151012
72666650026263
oct465272550720
9128152341768
1041522221520
111667823665a
12806985b468
133bb9555160
14201c816cda
1511304706b5
hex9aaead1d0

41522221520 has 80 divisors (see below), whose sum is σ = 109437162240. Its totient is φ = 14524365312.

The previous prime is 41522221453. The next prime is 41522221567. The reversal of 41522221520 is 2512222514.

41522221520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×415222215202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 41522221520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030904 + ... + 1070423.

It is an arithmetic number, because the mean of its divisors is an integer number (1367964528).

Almost surely, 241522221520 is an apocalyptic number.

41522221520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41522221520 is an abundant number, since it is smaller than the sum of its proper divisors (67914940720).

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

41522221520 is a wasteful number, since it uses less digits than its factorization.

41522221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101372 (or 2101366 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 41522221520 in words is "forty-one billion, five hundred twenty-two million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 2101327 4202654 8405308 10506635 16810616 21013270 27317251 33621232 39925213 42026540 54634502 79850426 84053080 109269004 136586255 159700852 168106160 199626065 218538008 273172510 319401704 399252130 437076016 519027769 546345020 638803408 798504260 1038055538 1092690040 1597008520 2076111076 2185380080 2595138845 3194017040 4152222152 5190277690 8304444304 10380555380 20761110760 41522221520