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220829928022 = 21117251136793
BaseRepresentation
bin1100110110101001111…
…1010100101001010110
3210010000000110122222001
43031222133110221112
512104224430144042
6245240423425514
721645241263064
oct3155237245126
9703000418861
10220829928022
1185720812450
123696b5b529a
1317a93927c82
14a98c6c3034
155b26ec9bb7
hex336a7d4a56

220829928022 has 48 divisors (see below), whose sum is σ = 383996390832. Its totient is φ = 94440314880.

The previous prime is 220829928017. The next prime is 220829928047.

220829928022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2208299280222 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32505058 + ... + 32511850.

It is an arithmetic number, because the mean of its divisors is an integer number (7999924809).

Almost surely, 2220829928022 is an apocalyptic number.

220829928022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220829928022 is a deficient number, since it is larger than the sum of its proper divisors (163166462810).

220829928022 is a wasteful number, since it uses less digits than its factorization.

220829928022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11953 (or 11936 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 220829928022 in words is "two hundred twenty billion, eight hundred twenty-nine million, nine hundred twenty-eight thousand, twenty-two".

Divisors: 1 2 11 17 22 34 187 289 374 578 3179 5113 6358 6793 10226 13586 56243 74723 86921 112486 115481 149446 173842 230962 956131 1270291 1477657 1912262 1963177 2540582 2955314 3926354 16254227 21594947 32508454 34732609 43189894 69465218 382058699 590454353 764117398 1180908706 6494997883 10037724001 12989995766 20075448002 110414964011 220829928022