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2225270608 = 2411232412281
BaseRepresentation
bin1000010010100010…
…1110111101010000
312202002020110101221
42010220232331100
514024132124413
61004451134424
7106100326261
oct20450567520
95662213357
102225270608
11a4211a820
125212a4414
1329603ba92
14171778968
15d055e68d
hex84a2ef50

2225270608 has 80 divisors (see below), whose sum is σ = 4930434432. Its totient is φ = 963072000.

The previous prime is 2225270603. The next prime is 2225270611. The reversal of 2225270608 is 8060725222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225270603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974428 + ... + 976708.

Almost surely, 22225270608 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 2225270608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465217216).

2225270608 is an abundant number, since it is smaller than the sum of its proper divisors (2705163824).

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

2225270608 is a wasteful number, since it uses less digits than its factorization.

2225270608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2225270608 is about 47172.7740121354. The cubic root of 2225270608 is about 1305.5523090929.

The spelling of 2225270608 in words is "two billion, two hundred twenty-five million, two hundred seventy thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 241 253 368 482 506 964 1012 1928 2024 2281 2651 3856 4048 4562 5302 5543 9124 10604 11086 18248 21208 22172 25091 36496 42416 44344 50182 52463 60973 88688 100364 104926 121946 200728 209852 243892 401456 419704 487784 549721 577093 839408 975568 1099442 1154186 2198884 2308372 4397768 4616744 6046931 8795536 9233488 12093862 12643583 24187724 25287166 48375448 50574332 96750896 101148664 139079413 202297328 278158826 556317652 1112635304 2225270608