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88216740 = 2232517127227
BaseRepresentation
bin1010100001000…
…01010010100100
320010222212121200
411100201102210
5140040413430
612430442500
72120554443
oct520412244
9203885550
1088216740
11458835a7
1225663430
1315379371
14ba04d5a
157b28460
hex54214a4

88216740 has 144 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 21869568.

The previous prime is 88216721. The next prime is 88216759. The reversal of 88216740 is 4761288.

It is an interprime number because it is at equal distance from previous prime (88216721) and next prime (88216759).

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

It is a junction number, because it is equal to n+sod(n) for n = 88216695 and 88216704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388507 + ... + 388733.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 288216740 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 88216740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

88216740 is an abundant number, since it is smaller than the sum of its proper divisors (198603612).

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

88216740 is a wasteful number, since it uses less digits than its factorization.

88216740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88216740 is about 9392.3766960232. The cubic root of 88216740 is about 445.1608895153.

The spelling of 88216740 in words is "eighty-eight million, two hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 127 153 170 180 204 227 254 255 306 340 381 454 508 510 612 635 681 762 765 908 1020 1135 1143 1270 1362 1524 1530 1905 2043 2159 2270 2286 2540 2724 3060 3405 3810 3859 4086 4318 4540 4572 5715 6477 6810 7620 7718 8172 8636 10215 10795 11430 11577 12954 13620 15436 19295 19431 20430 21590 22860 23154 25908 28829 32385 34731 38590 38862 40860 43180 46308 57658 57885 64770 69462 77180 77724 86487 97155 115316 115770 129540 138924 144145 172974 173655 194310 231540 259461 288290 345948 347310 388620 432435 490093 518922 576580 694620 864870 980186 1037844 1297305 1470279 1729740 1960372 2450465 2594610 2940558 4410837 4900930 5189220 5881116 7351395 8821674 9801860 14702790 17643348 22054185 29405580 44108370 88216740