Search a number
-
+
2244149973552 = 243317733201209
BaseRepresentation
bin100000101010000001110…
…000110001001000110000
321221112112200002120110010
4200222001300301020300
5243232004343123202
64434540454134520
7321064062016104
oct40520160611060
97845480076403
102244149973552
11795814178633
12302b21351440
13133812647346
147a890371904
153d59743576c
hex20a81c31230

2244149973552 has 80 divisors (see below), whose sum is σ = 5823638736480. Its totient is φ = 744669198336.

The previous prime is 2244149973547. The next prime is 2244149973553. The reversal of 2244149973552 is 2553799414422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2244149973492 and 2244149973501.

It is not an unprimeable number, because it can be changed into a prime (2244149973553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11052724 + ... + 11253932.

It is an arithmetic number, because the mean of its divisors is an integer number (72795484206).

Almost surely, 22244149973552 is an apocalyptic number.

It is an amenable number.

2244149973552 is an abundant number, since it is smaller than the sum of its proper divisors (3579488762928).

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

2244149973552 is a wasteful number, since it uses less digits than its factorization.

2244149973552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202270 (or 202264 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 2244149973552 in words is "two trillion, two hundred forty-four billion, one hundred forty-nine million, nine hundred seventy-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 634 733 951 1268 1466 1902 2199 2536 2932 3804 4398 5072 5864 7608 8796 11728 15216 17592 35184 201209 232361 402418 464722 603627 697083 804836 929444 1207254 1394166 1609672 1858888 2414508 2788332 3219344 3717776 4829016 5576664 9658032 11153328 63783253 127566506 147486197 191349759 255133012 294972394 382699518 442458591 510266024 589944788 765399036 884917182 1020532048 1179889576 1530798072 1769834364 2359779152 3061596144 3539668728 7079337456 46753124449 93506248898 140259373347 187012497796 280518746694 374024995592 561037493388 748049991184 1122074986776 2244149973552