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197077272 = 233719292129
BaseRepresentation
bin10111011111100…
…10100100011000
3111201211120012020
423233302210120
5400422433042
631320014440
74612062210
oct1357624430
9451746166
10197077272
11a1277087
1256001420
1331aa2b92
141c261240
151247d3ec
hexbbf2918

197077272 has 128 divisors (see below), whose sum is σ = 613440000. Its totient is φ = 51480576.

The previous prime is 197077247. The next prime is 197077289. The reversal of 197077272 is 272770791.

It is a super-2 number, since 2×1970772722 = 77678902277923968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91504 + ... + 93632.

It is an arithmetic number, because the mean of its divisors is an integer number (4792500).

Almost surely, 2197077272 is an apocalyptic number.

197077272 is a gapful number since it is divisible by the number (12) 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 197077272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306720000).

197077272 is an abundant number, since it is smaller than the sum of its proper divisors (416362728).

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

197077272 is a wasteful number, since it uses less digits than its factorization.

197077272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 42.

The square root of 197077272 is about 14038.4212787621. The cubic root of 197077272 is about 581.9408543951.

The spelling of 197077272 in words is "one hundred ninety-seven million, seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 29 38 42 56 57 58 76 84 87 114 116 133 152 168 174 203 228 232 266 348 399 406 456 532 551 609 696 798 812 1064 1102 1218 1596 1624 1653 2129 2204 2436 3192 3306 3857 4258 4408 4872 6387 6612 7714 8516 11571 12774 13224 14903 15428 17032 23142 25548 29806 30856 40451 44709 46284 51096 59612 61741 80902 89418 92568 119224 121353 123482 161804 178836 185223 242706 246964 283157 323608 357672 370446 432187 485412 493928 566314 740892 849471 864374 970824 1132628 1173079 1296561 1481784 1698942 1728748 2265256 2346158 2593122 3397884 3457496 3519237 4692316 5186244 6795768 7038474 8211553 9384632 10372488 14076948 16423106 24634659 28153896 32846212 49269318 65692424 98538636 197077272