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2554224156 = 22321173149593
BaseRepresentation
bin1001100000111110…
…0101111000011100
320121000020000211200
42120033211320130
520212340133111
61101241515500
7120203355441
oct23017457034
96530200750
102554224156
1110a087a460
125b34a2b90
13319236453
141a33279c8
15ee38c256
hex983e5e1c

2554224156 has 144 divisors (see below), whose sum is σ = 7199992800. Its totient is φ = 757002240.

The previous prime is 2554224139. The next prime is 2554224161. The reversal of 2554224156 is 6514224552.

2554224156 is a `hidden beast` number, since 25 + 542 + 2 + 41 + 56 = 666.

2554224156 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25542241562 = 13048122078187824672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2554224156.

It is a congruent number.

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, 4306996 + ... + 4307588.

It is an arithmetic number, because the mean of its divisors is an integer number (49999950).

Almost surely, 22554224156 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 2554224156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599996400).

2554224156 is an abundant number, since it is smaller than the sum of its proper divisors (4645768644).

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

2554224156 is a wasteful number, since it uses less digits than its factorization.

2554224156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 831 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2554224156 is about 50539.3327617213. The cubic root of 2554224156 is about 1366.9511749010.

The spelling of 2554224156 in words is "two billion, five hundred fifty-four million, two hundred twenty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 149 198 219 292 298 396 438 447 593 596 657 803 876 894 1186 1314 1341 1606 1639 1779 1788 2372 2409 2628 2682 3212 3278 3558 4818 4917 5337 5364 6523 6556 7116 7227 9636 9834 10674 10877 13046 14454 14751 19569 19668 21348 21754 26092 28908 29502 32631 39138 43289 43508 58707 59004 65262 78276 86578 88357 97893 117414 119647 129867 130524 173156 176714 195786 234828 239294 259734 265071 353428 358941 389601 391572 476179 478588 519468 530142 717882 779202 795213 952358 971927 1060284 1076823 1428537 1435764 1558404 1590426 1904716 1943854 2153646 2857074 2915781 3180852 3887708 4285611 4307292 5714148 5831562 6450061 8571222 8747343 11663124 12900122 17142444 17494686 19350183 25800244 34989372 38700366 58050549 70950671 77400732 116101098 141901342 212852013 232202196 283802684 425704026 638556039 851408052 1277112078 2554224156