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2150355400 = 2352191733271
BaseRepresentation
bin1000000000101011…
…1101000111001000
312112212021101001121
42000022331013020
513400442333100
6553213325024
7104200501504
oct20012750710
95485241047
102150355400
11a03901926
12500196774
1328366bc5b
14165837304
15c8bb251a
hex802bd1c8

2150355400 has 96 divisors (see below), whose sum is σ = 5294750400. Its totient is φ = 809913600.

The previous prime is 2150355349. The next prime is 2150355409. The reversal of 2150355400 is 45530512.

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

It is not an unprimeable number, because it can be changed into a prime (2150355409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655765 + ... + 659035.

It is an arithmetic number, because the mean of its divisors is an integer number (55153650).

Almost surely, 22150355400 is an apocalyptic number.

2150355400 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 2150355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647375200).

2150355400 is an abundant number, since it is smaller than the sum of its proper divisors (3144395000).

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

2150355400 is a wasteful number, since it uses less digits than its factorization.

2150355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3470 counting only the distinct ones).

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

The square root of 2150355400 is about 46371.9246958761. The cubic root of 2150355400 is about 1290.7339932811.

Adding to 2150355400 its reverse (45530512), we get a palindrome (2195885912).

The spelling of 2150355400 in words is "two billion, one hundred fifty million, three hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 173 190 200 346 380 475 692 760 865 950 1384 1730 1900 3271 3287 3460 3800 4325 6542 6574 6920 8650 13084 13148 16355 16435 17300 26168 26296 32710 32870 34600 62149 65420 65740 81775 82175 124298 130840 131480 163550 164350 248596 310745 327100 328700 497192 565883 621490 654200 657400 1131766 1242980 1553725 2263532 2485960 2829415 3107450 4527064 5658830 6214900 10751777 11317660 12429800 14147075 21503554 22635320 28294150 43007108 53758885 56588300 86014216 107517770 113176600 215035540 268794425 430071080 537588850 1075177700 2150355400