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215191152 = 243211731861
BaseRepresentation
bin11001101001110…
…00111001110000
3112222220211202200
430310320321300
5420042104102
633204143200
75222044311
oct1464707160
9488824680
10215191152
11100519330
1260097b00
1335775957
1420818608
1513d5a51c
hexcd38e70

215191152 has 120 divisors (see below), whose sum is σ = 666342768. Its totient is φ = 64281600.

The previous prime is 215191147. The next prime is 215191153. The reversal of 215191152 is 251191512.

215191152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215191153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114702 + ... + 116562.

Almost surely, 2215191152 is an apocalyptic number.

215191152 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 215191152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333171384).

215191152 is an abundant number, since it is smaller than the sum of its proper divisors (451151616).

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

215191152 is a wasteful number, since it uses less digits than its factorization.

215191152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1950 counting only the distinct ones).

The product of its digits is 900, while the sum is 27.

The square root of 215191152 is about 14669.3950795525. The cubic root of 215191152 is about 599.2501298818.

The spelling of 215191152 in words is "two hundred fifteen million, one hundred ninety-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 132 144 146 176 198 219 264 292 396 438 528 584 657 792 803 876 1168 1314 1584 1606 1752 1861 2409 2628 3212 3504 3722 4818 5256 5583 6424 7227 7444 9636 10512 11166 12848 14454 14888 16749 19272 20471 22332 28908 29776 33498 38544 40942 44664 57816 61413 66996 81884 89328 115632 122826 133992 135853 163768 184239 245652 267984 271706 327536 368478 407559 491304 543412 736956 815118 982608 1086824 1222677 1473912 1494383 1630236 2173648 2445354 2947824 2988766 3260472 4483149 4890708 5977532 6520944 8966298 9781416 11955064 13449447 17932596 19562832 23910128 26898894 35865192 53797788 71730384 107595576 215191152