Search a number
-
+
2344249153100 = 225283953296369
BaseRepresentation
bin100010000111010000001…
…000110101011001001100
322022002220202100202110102
4202013100020311121030
5301402010240344400
64552533323030232
7331236452011601
oct42072010653114
98262822322412
102344249153100
118242105947a8
1231a3b836b378
131400a5870cba
148166864c6a8
1540ea52119d5
hex221d023564c

2344249153100 has 72 divisors (see below), whose sum is σ = 5153729671440. Its totient is φ = 925426862080.

The previous prime is 2344249153061. The next prime is 2344249153109. The reversal of 2344249153100 is 13519424432.

It is a super-2 number, since 2×23442491531002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2344249153109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7761716 + ... + 8058084.

It is an arithmetic number, because the mean of its divisors is an integer number (71579578770).

Almost surely, 22344249153100 is an apocalyptic number.

2344249153100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344249153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576864835720).

2344249153100 is an abundant number, since it is smaller than the sum of its proper divisors (2809480518340).

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

2344249153100 is a wasteful number, since it uses less digits than its factorization.

2344249153100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297419 (or 297412 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 2344249153100 in words is "two trillion, three hundred forty-four billion, two hundred forty-nine million, one hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 953 1660 1906 2075 3812 4150 4765 8300 9530 19060 23825 47650 79099 95300 158198 296369 316396 395495 592738 790990 1185476 1481845 1581980 1977475 2963690 3954950 5927380 7409225 7909900 14818450 24598627 29636900 49197254 98394508 122993135 245986270 282439657 491972540 564879314 614965675 1129758628 1229931350 1412198285 2459862700 2824396570 5648793140 7060991425 14121982850 23442491531 28243965700 46884983062 93769966124 117212457655 234424915310 468849830620 586062288275 1172124576550 2344249153100