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220221031032 = 233217259179381
BaseRepresentation
bin1100110100011000110…
…0100100001001111000
3210001102120201111022200
43031012030210021320
512102003040443112
6245100152550200
721624165610152
oct3150614441170
9701376644280
10220221031032
11854390380a2
123681b6b2360
13179c77358b2
14a9318a1ad2
155add800cdc
hex3346324278

220221031032 has 144 divisors (see below), whose sum is σ = 644322205800. Its totient is φ = 67917573120.

The previous prime is 220221031031. The next prime is 220221031033. The reversal of 220221031032 is 230130122022.

It is an interprime number because it is at equal distance from previous prime (220221031031) and next prime (220221031033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220221030996 and 220221031014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220221031031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1137982 + ... + 1317362.

Almost surely, 2220221031032 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 220221031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322161102900).

220221031032 is an abundant number, since it is smaller than the sum of its proper divisors (424101174768).

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

220221031032 is a wasteful number, since it uses less digits than its factorization.

220221031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179486 (or 179462 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220221031032 its reverse (230130122022), we get a palindrome (450351153054).

The spelling of 220221031032 in words is "two hundred twenty billion, two hundred twenty-one million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 59 68 72 102 118 136 153 177 204 236 289 306 354 408 472 531 578 612 708 867 1003 1062 1156 1224 1416 1734 2006 2124 2312 2601 3009 3468 4012 4248 5202 6018 6936 8024 9027 10404 12036 17051 18054 20808 24072 34102 36108 51153 68204 72216 102306 136408 153459 179381 204612 306918 358762 409224 538143 613836 717524 1076286 1227672 1435048 1614429 2152572 3049477 3228858 4305144 6098954 6457716 9148431 10583479 12197908 12915432 18296862 21166958 24395816 27445293 31750437 36593724 42333916 51841109 54890586 63500874 73187448 84667832 95251311 103682218 109781172 127001748 155523327 179919143 190502622 207364436 219562344 254003496 311046654 359838286 381005244 414728872 466569981 539757429 622093308 719676572 762010488 933139962 1079514858 1244186616 1439353144 1619272287 1866279924 2159029716 3058625431 3238544574 3732559848 4318059432 6117250862 6477089148 9175876293 12234501724 12954178296 18351752586 24469003448 27527628879 36703505172 55055257758 73407010344 110110515516 220221031032