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2253970575 = 3252197211241
BaseRepresentation
bin1000011001011000…
…1101110010001111
312211002020120100200
42012112031302033
514104004024300
61011354224543
7106566301533
oct20626156217
95732216320
102253970575
11a573424aa
1252aa25153
1329bc7a0cc
141754c9bc3
15d2d2d200
hex8658dc8f

2253970575 has 72 divisors (see below), whose sum is σ = 4093751376. Its totient is φ = 1185408000.

The previous prime is 2253970553. The next prime is 2253970601. The reversal of 2253970575 is 5750793522.

2253970575 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 9 + 70 + 575 = 666.

2253970575 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 474762-1.

It is not a de Polignac number, because 2253970575 - 29 = 2253970063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2253970575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9352455 + ... + 9352695.

It is an arithmetic number, because the mean of its divisors is an integer number (56857658).

Almost surely, 22253970575 is an apocalyptic number.

2253970575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2253970575 is a deficient number, since it is larger than the sum of its proper divisors (1839780801).

2253970575 is a wasteful number, since it uses less digits than its factorization.

2253970575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 2253970575 is about 47475.9999894684. Note that the first 4 decimals coincide. The cubic root of 2253970575 is about 1311.1410478591.

The spelling of 2253970575 in words is "two billion, two hundred fifty-three million, nine hundred seventy thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 197 211 225 241 591 633 723 985 1055 1205 1773 1899 2169 2955 3165 3615 4925 5275 6025 8865 9495 10845 14775 15825 18075 41567 44325 47475 47477 50851 54225 124701 142431 152553 207835 237385 254255 374103 427293 457659 623505 712155 762765 1039175 1186925 1271275 1870515 2136465 2288295 3117525 3560775 3813825 9352575 10017647 10682325 11441475 30052941 50088235 90158823 150264705 250441175 450794115 751323525 2253970575