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2225490984 = 233347219217
BaseRepresentation
bin1000010010100110…
…0100110000101000
312202002122122201000
42010221210300220
514024211202414
61004455555000
7106102234623
oct20451446050
95662578630
102225490984
11a42260352
1252138ba60
132960b8192
141717d4dba
15d05a4b09
hex84a64c28

2225490984 has 64 divisors (see below), whose sum is σ = 6313478400. Its totient is φ = 726043392.

The previous prime is 2225490979. The next prime is 2225490989. The reversal of 2225490984 is 4890945222.

2225490984 is a `hidden beast` number, since 2 + 22 + 549 + 0 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (2225490979) and next prime (2225490989).

It is not an unprimeable number, because it can be changed into a prime (2225490989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99457 + ... + 119760.

It is an arithmetic number, because the mean of its divisors is an integer number (98648100).

Almost surely, 22225490984 is an apocalyptic number.

2225490984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2225490984 is an abundant number, since it is smaller than the sum of its proper divisors (4087987416).

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

2225490984 is a wasteful number, since it uses less digits than its factorization.

2225490984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219279 (or 219269 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2225490984 is about 47175.1097931950. The cubic root of 2225490984 is about 1305.5954054093.

The spelling of 2225490984 in words is "two billion, two hundred twenty-five million, four hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 219217 438434 657651 876868 1315302 1753736 1972953 2630604 3945906 5261208 5918859 7891812 10303199 11837718 15783624 20606398 23675436 30909597 41212796 47350872 61819194 82425592 92728791 123638388 185457582 247276776 278186373 370915164 556372746 741830328 1112745492 2225490984