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156221460 = 22345731321
BaseRepresentation
bin10010100111111…
…00000000010100
3101212221212120000
421103330000110
5304443041320
623300211300
73604601103
oct1123740024
9355855500
10156221460
118020154a
1244399b30
1326499945
1416a6803a
15daacc90
hex94fc014

156221460 has 120 divisors (see below), whose sum is σ = 497161896. Its totient is φ = 41057280.

The previous prime is 156221459. The next prime is 156221489. The reversal of 156221460 is 64122651.

It can be written as a sum of positive squares in 4 ways, for example, as 51322896 + 104898564 = 7164^2 + 10242^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117600 + ... + 118920.

Almost surely, 2156221460 is an apocalyptic number.

156221460 is a gapful number since it is divisible by the number (10) 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 156221460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248580948).

156221460 is an abundant number, since it is smaller than the sum of its proper divisors (340940436).

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

156221460 is a wasteful number, since it uses less digits than its factorization.

156221460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 156221460 is about 12498.8583478652. The cubic root of 156221460 is about 538.5758771426.

The spelling of 156221460 in words is "one hundred fifty-six million, two hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 135 146 162 180 219 270 292 324 365 405 438 540 657 730 810 876 1095 1314 1321 1460 1620 1971 2190 2628 2642 3285 3942 3963 4380 5284 5913 6570 6605 7884 7926 9855 11826 11889 13140 13210 15852 19710 19815 23652 23778 26420 29565 35667 39420 39630 47556 59130 59445 71334 79260 96433 107001 118260 118890 142668 178335 192866 214002 237780 289299 356670 385732 428004 482165 535005 578598 713340 867897 964330 1070010 1157196 1446495 1735794 1928660 2140020 2603691 2892990 3471588 4339485 5207382 5785980 7811073 8678970 10414764 13018455 15622146 17357940 26036910 31244292 39055365 52073820 78110730 156221460