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220025352040144 = 2479732096311219
BaseRepresentation
bin110010000001110010100100…
…111100110010111011010000
31001212001012220002102122022221
4302001302210330302323100
5212314343410110241034
62055542130141510424
764226210223203050
oct6201624474627320
91055035802378287
10220025352040144
116411a2561a5382
1220816479272414
1395a03bc9c7ab1
143c493d8ca7560
151a6856e985bb4
hexc81ca4f32ed0

220025352040144 has 80 divisors (see below), whose sum is σ = 492375129724800. Its totient is φ = 93295352881152.

The previous prime is 220025352040079. The next prime is 220025352040147. The reversal of 220025352040144 is 441040253520022.

It is a super-2 number, since 2×2200253520401442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220025352040147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31706967 + ... + 38018185.

It is an arithmetic number, because the mean of its divisors is an integer number (6154689121560).

Almost surely, 2220025352040144 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 220025352040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246187564862400).

220025352040144 is an abundant number, since it is smaller than the sum of its proper divisors (272349777684656).

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

220025352040144 is a wasteful number, since it uses less digits than its factorization.

220025352040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314540 (or 6314534 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 220025352040144 in words is "two hundred twenty trillion, twenty-five billion, three hundred fifty-two million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 3209 5432 6418 10864 12836 22463 25672 44926 51344 89852 179704 311273 359408 622546 1245092 2178911 2490184 4357822 4980368 6311219 8715644 12622438 17431288 25244876 34862576 44178533 50489752 88357066 100979504 176714132 353428264 612188243 706856528 1224376486 2448752972 4285317701 4897505944 8570635402 9795011888 17141270804 20252701771 34282541608 40505403542 68565083216 81010807084 141768912397 162021614168 283537824794 324043228336 567075649588 1134151299176 1964512071787 2268302598352 3929024143574 7858048287148 13751584502509 15716096574296 27503169005018 31432193148592 55006338010036 110012676020072 220025352040144