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2220133293 = 3573171593
BaseRepresentation
bin1000010001010100…
…1000101110101101
312201201120110100000
42010111020232231
514021323231133
61004145054513
7106005551550
oct20425105655
95651513300
102220133293
11a3a231004
1251b627439
13294c60651
14170bdc697
15ced97413
hex84548bad

2220133293 has 96 divisors (see below), whose sum is σ = 3985293312. Its totient is φ = 1208390400.

The previous prime is 2220133291. The next prime is 2220133303. The reversal of 2220133293 is 3923310222.

It is not a de Polignac number, because 2220133293 - 21 = 2220133291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220133291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3743605 + ... + 3744197.

It is an arithmetic number, because the mean of its divisors is an integer number (41513472).

Almost surely, 22220133293 is an apocalyptic number.

It is an amenable number.

2220133293 is a deficient number, since it is larger than the sum of its proper divisors (1765160019).

2220133293 is an equidigital number, since it uses as much as digits as its factorization.

2220133293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2220133293 is about 47118.2904295137. The cubic root of 2220133293 is about 1304.5468581292.

The spelling of 2220133293 in words is "two billion, two hundred twenty million, one hundred thirty-three thousand, two hundred ninety-three".

Divisors: 1 3 7 9 21 27 31 63 71 81 93 189 213 217 243 279 497 567 593 639 651 837 1491 1701 1779 1917 1953 2201 2511 4151 4473 5337 5751 5859 6603 7533 12453 13419 15407 16011 17253 17577 18383 19809 37359 40257 42103 46221 48033 52731 55149 59427 112077 120771 126309 128681 138663 144099 165447 178281 294721 336231 378927 386043 415989 496341 534843 884163 1008693 1136781 1158129 1247967 1305193 1489023 2652489 3410343 3474387 3743901 3915579 4467069 7957467 9136351 10231029 10423161 11746737 23872401 27409053 31269483 35240211 71617203 82227159 105720633 246681477 317161899 740044431 2220133293