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214944948 = 223319312109
BaseRepresentation
bin11001100111111…
…00110010110100
3112222110100001000
430303330302310
5420011214243
633155003300
75220000441
oct1463746264
9488410030
10214944948
11100370359
125bb99530
13356ba87a
14207929c8
1513d0c5d3
hexccfccb4

214944948 has 144 divisors (see below), whose sum is σ = 611688000. Its totient is φ = 65085120.

The previous prime is 214944943. The next prime is 214944997. The reversal of 214944948 is 849449412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214944941) 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, 1971918 + ... + 1972026.

Almost surely, 2214944948 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 214944948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305844000).

214944948 is an abundant number, since it is smaller than the sum of its proper divisors (396743052).

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

214944948 is a wasteful number, since it uses less digits than its factorization.

214944948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 214944948 is about 14661.0009208103. Note that the first 3 decimals coincide. The cubic root of 214944948 is about 599.0215051137.

The spelling of 214944948 in words is "two hundred fourteen million, nine hundred forty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 109 114 124 171 186 218 228 279 327 342 372 436 513 558 589 654 684 837 961 981 1026 1116 1178 1308 1674 1767 1922 1962 2052 2071 2356 2883 2943 3348 3379 3534 3844 3924 4142 5301 5766 5886 6213 6758 7068 8284 8649 10137 10602 11532 11772 12426 13516 15903 17298 18259 18639 20274 21204 24852 25947 30411 31806 34596 36518 37278 40548 51894 54777 55917 60822 63612 64201 73036 74556 91233 103788 104749 109554 111834 121644 128402 164331 182466 192603 209498 219108 223668 256804 314247 328662 364932 385206 418996 492993 577809 628494 657324 770412 942741 985986 1155618 1256988 1733427 1885482 1971972 1990231 2311236 2828223 3466854 3770964 3980462 5656446 5970693 6933708 7960924 11312892 11941386 17912079 23882772 35824158 53736237 71648316 107472474 214944948