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222145826896 = 24733110131289
BaseRepresentation
bin1100111011100011101…
…1000101000001010000
3210020101201120020212101
43032320323011001100
512114423312430041
6250015152010144
722022660242000
oct3167073050120
9706351506771
10222145826896
1186236589784
1237078230954
1317c4343b766
14aa75382000
155ba27aab31
hex33b8ec5050

222145826896 has 160 divisors (see below), whose sum is σ = 519038208000. Its totient is φ = 91971855360.

The previous prime is 222145826893. The next prime is 222145826897. The reversal of 222145826896 is 698628541222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222145826893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172339020 + ... + 172340308.

It is an arithmetic number, because the mean of its divisors is an integer number (3243988800).

Almost surely, 2222145826896 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 222145826896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259519104000).

222145826896 is an abundant number, since it is smaller than the sum of its proper divisors (296892381104).

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

222145826896 is a wasteful number, since it uses less digits than its factorization.

222145826896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2342 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The spelling of 222145826896 in words is "two hundred twenty-two billion, one hundred forty-five million, eight hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 343 392 434 496 686 784 868 1013 1289 1372 1519 1736 2026 2578 2744 3038 3472 4052 5156 5488 6076 7091 8104 9023 10312 10633 12152 14182 16208 18046 20624 21266 24304 28364 31403 36092 39959 42532 49637 56728 62806 63161 72184 79918 85064 99274 113456 125612 126322 144368 159836 170128 198548 219821 251224 252644 279713 319672 347459 397096 439642 442127 502448 505288 559426 639344 694918 794192 879284 884254 1010576 1118852 1305757 1389836 1538747 1758568 1768508 1957991 2237704 2611514 2779672 3077494 3517136 3537016 3915982 4475408 5223028 5559344 6154988 7074032 7831964 9140299 10446056 10771229 12309976 13705937 15663928 18280598 20892112 21542458 24619952 27411874 31327856 36561196 40478467 43084916 54823748 63982093 73122392 80956934 86169832 109647496 127964186 146244784 161913868 172339664 219294992 255928372 283349269 323827736 447874651 511856744 566698538 647655472 895749302 1023713488 1133397076 1791498604 1983444883 2266794152 3582997208 3966889766 4533588304 7165994416 7933779532 13884114181 15867559064 27768228362 31735118128 55536456724 111072913448 222145826896