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2153554000 = 245313113733
BaseRepresentation
bin1000000001011100…
…1010000001010000
312120002021212201021
42000113022001100
513402302212000
6553410045224
7104236623043
oct20027120120
95502255637
102153554000
11a05696aa4
12501279814
1328421bb10
1416602ac5a
15c90e511a
hex805ca050

2153554000 has 160 divisors (see below), whose sum is σ = 5665199904. Its totient is φ = 787046400.

The previous prime is 2153553979. The next prime is 2153554001. The reversal of 2153554000 is 4553512.

It can be written as a sum of positive squares in 16 ways, for example, as 1872119824 + 281434176 = 43268^2 + 16776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153554001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2937634 + ... + 2938366.

Almost surely, 22153554000 is an apocalyptic number.

2153554000 is a gapful number since it is divisible by the number (20) 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 2153554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832599952).

2153554000 is an abundant number, since it is smaller than the sum of its proper divisors (3511645904).

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

2153554000 is a wasteful number, since it uses less digits than its factorization.

2153554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2153554000 is about 46406.4004206316. The cubic root of 2153554000 is about 1291.3736544283.

The spelling of 2153554000 in words is "two billion, one hundred fifty-three million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 113 125 130 200 208 226 250 260 325 400 452 500 520 565 650 733 904 1000 1040 1130 1300 1466 1469 1625 1808 2000 2260 2600 2825 2932 2938 3250 3665 4520 5200 5650 5864 5876 6500 7330 7345 9040 9529 11300 11728 11752 13000 14125 14660 14690 18325 19058 22600 23504 26000 28250 29320 29380 36650 36725 38116 45200 47645 56500 58640 58760 73300 73450 76232 82829 91625 95290 113000 117520 146600 146900 152464 165658 183250 183625 190580 226000 238225 293200 293800 331316 366500 367250 381160 414145 476450 587600 662632 733000 734500 762320 828290 952900 1076777 1191125 1325264 1466000 1469000 1656580 1905800 2070725 2153554 2382250 2938000 3313160 3811600 4141450 4307108 4764500 5383885 6626320 8282900 8614216 9529000 10353625 10767770 16565800 17228432 19058000 20707250 21535540 26919425 33131600 41414500 43071080 53838850 82829000 86142160 107677700 134597125 165658000 215355400 269194250 430710800 538388500 1076777000 2153554000