Search a number
-
+
213035622372 = 22352361156217
BaseRepresentation
bin1100011001100111101…
…0011001111111100100
3202100212211002220200000
43012121322121333210
511442244104403442
6241511152421300
721251135624646
oct3063172317744
9670784086600
10213035622372
1182391067231
1235355247830
1317120bb3cb1
14a44d480896
15581cab0d4c
hex3199e99fe4

213035622372 has 144 divisors (see below), whose sum is σ = 592288674432. Its totient is φ = 66810458880.

The previous prime is 213035622367. The next prime is 213035622377. The reversal of 213035622372 is 273226530312.

213035622372 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 562 + 23 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (213035622367) and next prime (213035622377).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213035622377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285608 + ... + 1441824.

Almost surely, 2213035622372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213035622372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296144337216).

213035622372 is an abundant number, since it is smaller than the sum of its proper divisors (379253052060).

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

213035622372 is a wasteful number, since it uses less digits than its factorization.

213035622372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156320 (or 156306 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 213035622372 in words is "two hundred thirteen billion, thirty-five million, six hundred twenty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 61 69 81 92 108 122 138 162 183 207 243 244 276 324 366 414 486 549 621 732 828 972 1098 1242 1403 1647 1863 2196 2484 2806 3294 3726 4209 4941 5589 5612 6588 7452 8418 9882 11178 12627 14823 16836 19764 22356 25254 29646 37881 50508 59292 75762 113643 151524 156217 227286 312434 340929 454572 468651 624868 681858 937302 1363716 1405953 1874604 2811906 3592991 4217859 5623812 7185982 8435718 9529237 10778973 12653577 14371964 16871436 19058474 21557946 25307154 28587711 32336919 37960731 38116948 43115892 50614308 57175422 64673838 75921462 85763133 97010757 114350844 129347676 151842924 171526266 194021514 219172451 257289399 291032271 343052532 388043028 438344902 514578798 582064542 657517353 771868197 873096813 876689804 1029157596 1164129084 1315034706 1543736394 1746193626 1972552059 2315604591 2630069412 3087472788 3492387252 3945104118 4631209182 5917656177 7890208236 9262418364 11835312354 17752968531 23670624708 35505937062 53258905593 71011874124 106517811186 213035622372