Search a number
-
+
223530135136 = 2571191579907
BaseRepresentation
bin1101000000101101101…
…1110010111001100000
3210100222012101101202221
43100023123302321200
512130242203311021
6250404402320424
722102166541040
oct3201333627140
9710865341687
10223530135136
1186886a2aa80
12373a3959114
1318104184a69
14ab6716b720
155c340a1241
hex340b6f2e60

223530135136 has 96 divisors (see below), whose sum is σ = 548780182272. Its totient is φ = 87071362560.

The previous prime is 223530135133. The next prime is 223530135149. The reversal of 223530135136 is 631531035322.

It is a super-3 number, since 3×2235301351363 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223530135133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22557895 + ... + 22567801.

It is an arithmetic number, because the mean of its divisors is an integer number (5716460232).

Almost surely, 2223530135136 is an apocalyptic number.

It is an amenable number.

223530135136 is an abundant number, since it is smaller than the sum of its proper divisors (325250047136).

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

223530135136 is a wasteful number, since it uses less digits than its factorization.

223530135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19092 (or 19084 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

The spelling of 223530135136 in words is "two hundred twenty-three billion, five hundred thirty million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 9157 9907 18314 19814 36628 39628 64099 69349 73256 79256 100727 108977 128198 138698 146512 158512 201454 217954 256396 277396 293024 317024 402908 435908 512792 554792 705089 762839 805816 871816 1025584 1109584 1410178 1525678 1611632 1743632 2051168 2219168 2820356 3051356 3223264 3487264 5640712 6102712 11281424 12205424 22562848 24410848 90718399 181436798 362873596 635028793 725747192 997902389 1270057586 1451494384 1995804778 2540115172 2902988768 3991609556 5080230344 6985316723 7983219112 10160460688 13970633446 15966438224 20320921376 27941266892 31932876448 55882533784 111765067568 223530135136