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2248697968 = 241126947497
BaseRepresentation
bin1000011000001000…
…0110100001110000
312210201022200200221
42012002012201300
514101131313333
61011045222424
7106503421516
oct20602064160
95721280627
102248697968
11a54371080
12529101a14
1329ab5221a
141749164b6
15d263ad2d
hex86086870

2248697968 has 40 divisors (see below), whose sum is σ = 4770699120. Its totient is φ = 1018314240.

The previous prime is 2248697963. The next prime is 2248697987. The reversal of 2248697968 is 8697968422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248697963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23596 + ... + 71092.

It is an arithmetic number, because the mean of its divisors is an integer number (119267478).

Almost surely, 22248697968 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 2248697968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385349560).

2248697968 is an abundant number, since it is smaller than the sum of its proper divisors (2522001152).

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

2248697968 is a wasteful number, since it uses less digits than its factorization.

2248697968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47785 (or 47779 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 61.

The square root of 2248697968 is about 47420.4382940521. The cubic root of 2248697968 is about 1310.1178861726.

The spelling of 2248697968 in words is "two billion, two hundred forty-eight million, six hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 2152 2959 4304 5918 11836 23672 47344 47497 94994 189988 379976 522467 759952 1044934 2089868 4179736 8359472 12776693 25553386 51106772 102213544 140543623 204427088 281087246 562174492 1124348984 2248697968