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244672164 = 2234112792
BaseRepresentation
bin11101001010101…
…10011010100100
3122001101122010000
432211112122210
51000114002124
640140101300
76030451632
oct1645263244
9561348100
10244672164
11116124900
1269b34830
133b8c8639
14246d0352
15167306c9
hexe9566a4

244672164 has 135 divisors (see below), whose sum is σ = 712066971. Its totient is φ = 73204560.

The previous prime is 244672151. The next prime is 244672199. The reversal of 244672164 is 461276442.

The square root of 244672164 is 15642.

It is a perfect power (a square), and thus also a powerful number.

244672164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3097077 + ... + 3097155.

Almost surely, 2244672164 is an apocalyptic number.

244672164 is the 15642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244672164

244672164 is an abundant number, since it is smaller than the sum of its proper divisors (467394807).

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

244672164 is a wasteful number, since it uses less digits than its factorization.

244672164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 95 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The cubic root of 244672164 is about 625.4532511686.

Multiplying 244672164 by its sum of digits (36), we get a square (8808197904 = 938522).

244672164 divided by its sum of digits (36) gives a square (6796449 = 26072).

The spelling of 244672164 in words is "two hundred forty-four million, six hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 81 99 108 121 132 158 162 198 237 242 297 316 324 363 396 474 484 594 711 726 869 891 948 1089 1188 1422 1452 1738 1782 2133 2178 2607 2844 3267 3476 3564 4266 4356 5214 6241 6399 6534 7821 8532 9559 9801 10428 12482 12798 13068 15642 18723 19118 19602 23463 24964 25596 28677 31284 37446 38236 39204 46926 56169 57354 68651 70389 74892 86031 93852 112338 114708 137302 140778 168507 172062 205953 224676 258093 274604 281556 337014 344124 411906 505521 516186 617859 674028 755161 774279 823812 1011042 1032372 1235718 1510322 1548558 1853577 2022084 2265483 2471436 3020644 3097116 3707154 4530966 5560731 6796449 7414308 9061932 11121462 13592898 20389347 22242924 27185796 40778694 61168041 81557388 122336082 244672164