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220221122000 = 24531121147441
BaseRepresentation
bin1100110100011000110…
…0111010010111010000
3210001102120220010002212
43031012030322113100
512102003101401000
6245100154531252
721624166436315
oct3150614722720
9701376803085
10220221122000
118543909a480
123681b736b28
13179c7768119
14a9318c6d0c
155add81cc35
hex334633a5d0

220221122000 has 160 divisors (see below), whose sum is σ = 583668678528. Its totient is φ = 79699200000.

The previous prime is 220221121979. The next prime is 220221122003. The reversal of 220221122000 is 221122022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220221122003) 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, 4618280 + ... + 4665720.

Almost surely, 2220221122000 is an apocalyptic number.

220221122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291834339264).

220221122000 is an abundant number, since it is smaller than the sum of its proper divisors (363447556528).

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

220221122000 is a wasteful number, since it uses less digits than its factorization.

220221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47686 (or 47670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220221122000 its reverse (221122022), we get a palindrome (220442244022).

The spelling of 220221122000 in words is "two hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 211 220 250 275 400 422 440 500 550 844 880 1000 1055 1100 1375 1688 2000 2110 2200 2321 2750 3376 4220 4400 4642 5275 5500 8440 9284 10550 11000 11605 16880 18568 21100 22000 23210 26375 37136 42200 46420 47441 52750 58025 84400 92840 94882 105500 116050 185680 189764 211000 232100 237205 290125 379528 422000 464200 474410 521851 580250 759056 928400 948820 1043702 1160500 1186025 1897640 2087404 2321000 2372050 2609255 3795280 4174808 4642000 4744100 5218510 5930125 8349616 9488200 10010051 10437020 11860250 13046275 18976400 20020102 20874040 23720500 26092550 40040204 41748080 47441000 50050255 52185100 65231375 80080408 94882000 100100510 104370200 110110561 130462750 160160816 200201020 208740400 220221122 250251275 260925500 400402040 440442244 500502550 521851000 550552805 800804080 880884488 1001005100 1043702000 1101105610 1251256375 1761768976 2002010200 2202211220 2502512750 2752764025 4004020400 4404422440 5005025500 5505528050 8808844880 10010051000 11011056100 13763820125 20020102000 22022112200 27527640250 44044224400 55055280500 110110561000 220221122000