Search a number
-
+
2235695849552 = 2411196119157383
BaseRepresentation
bin100000100010001001110…
…110110110000001010000
321220201201111011120112102
4200202021312312001100
5243112201114141202
64431021533015532
7320344425112214
oct40421166660120
97821644146472
102235695849552
117921760280a0
123013620245a8
13132a95cc23c9
147a2cb654944
153d250134d02
hex20889db6050

2235695849552 has 160 divisors (see below), whose sum is σ = 5082257571840. Its totient is φ = 941982912000.

The previous prime is 2235695849549. The next prime is 2235695849557. The reversal of 2235695849552 is 2559485965322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235695849557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38932253 + ... + 38989635.

It is an arithmetic number, because the mean of its divisors is an integer number (31764109824).

Almost surely, 22235695849552 is an apocalyptic number.

2235695849552 is a gapful number since it is divisible by the number (22) 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 2235695849552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541128785920).

2235695849552 is an abundant number, since it is smaller than the sum of its proper divisors (2846561722288).

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

2235695849552 is a wasteful number, since it uses less digits than its factorization.

2235695849552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57673 (or 57667 counting only the distinct ones).

The product of its digits is 233280000, while the sum is 65.

The spelling of 2235695849552 in words is "two trillion, two hundred thirty-five billion, six hundred ninety-five million, eight hundred forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 61 76 88 122 152 176 191 209 244 304 382 418 488 671 764 836 976 1159 1342 1528 1672 2101 2318 2684 3056 3344 3629 4202 4636 5368 7258 8404 9272 10736 11651 12749 14516 16808 18544 23302 25498 29032 33616 39919 46604 50996 57383 58064 79838 93208 101992 114766 128161 159676 186416 203984 221369 229532 256322 319352 442738 459064 512644 631213 638704 885476 918128 1025288 1090277 1262426 1770952 2050576 2180554 2435059 2524852 3500363 3541904 4361108 4870118 5049704 7000726 8722216 9740236 10099408 10960153 11993047 14001452 17444432 19480472 21920306 23986094 28002904 38503993 38960944 43840612 47972188 56005808 66506897 77007986 87681224 95944376 120561683 133013794 154015972 175362448 191888752 208242907 241123366 266027588 308031944 416485814 482246732 532055176 616063888 668569333 731575867 832971628 964493464 1064110352 1337138666 1463151734 1665943256 1928986928 2290671977 2674277332 2926303468 3331886512 4581343954 5348554664 5852606936 7354262663 9162687908 10697109328 11705213872 12702817327 14708525326 18325375816 25405634654 29417050652 36650751632 50811269308 58834101304 101622538616 117668202608 139730990597 203245077232 279461981194 558923962388 1117847924776 2235695849552