Search a number
-
+
2123497948 = 221113171311667
BaseRepresentation
bin111111010010010…
…0000000111011100
312110222201212120011
41332210200013130
513322103413243
6550413533004
7103423302055
oct17644400734
95428655504
102123497948
1199a728490
124b31a4164
1327ac27480
1416204572c
15c665989d
hex7e9201dc

2123497948 has 96 divisors (see below), whose sum is σ = 4660685568. Its totient is φ = 831667200.

The previous prime is 2123497919. The next prime is 2123497951. The reversal of 2123497948 is 8497943212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273011 + ... + 1274677.

It is an arithmetic number, because the mean of its divisors is an integer number (48548808).

Almost surely, 22123497948 is an apocalyptic number.

It is an amenable number.

2123497948 is an abundant number, since it is smaller than the sum of its proper divisors (2537187620).

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

2123497948 is a wasteful number, since it uses less digits than its factorization.

2123497948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1841 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 2123497948 is about 46081.4273650459. The cubic root of 2123497948 is about 1285.3378063872.

The spelling of 2123497948 in words is "two billion, one hundred twenty-three million, four hundred ninety-seven thousand, nine hundred forty-eight".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 131 143 187 221 262 286 374 442 524 572 748 884 1441 1667 1703 2227 2431 2882 3334 3406 4454 4862 5764 6668 6812 8908 9724 18337 18733 21671 24497 28339 28951 36674 37466 43342 48994 56678 57902 73348 74932 86684 97988 113356 115804 218377 238381 311729 318461 368407 436754 476762 623458 636922 736814 873508 953524 1246916 1273844 1473628 2402147 2838901 3712409 4052477 4804294 5677802 7424818 8104954 9608588 11355604 14849636 16209908 31227911 40836499 48261317 62455822 81672998 96522634 124911644 163345996 193045268 530874487 1061748974 2123497948