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1402231400 = 235217616761
BaseRepresentation
bin101001110010100…
…0101101001101000
310121201112201212022
41103211011221220
510332432401100
6351050404012
746514525123
oct12345055150
93551481768
101402231400
1165a583229
12331730608
1319468032b
14d43333ba
1583185e85
hex53945a68

1402231400 has 96 divisors (see below), whose sum is σ = 3509072280. Its totient is φ = 519168000.

The previous prime is 1402231399. The next prime is 1402231421. The reversal of 1402231400 is 41322041.

It can be written as a sum of positive squares in 12 ways, for example, as 89908324 + 1312323076 = 9482^2 + 36226^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204020 + ... + 210780.

Almost surely, 21402231400 is an apocalyptic number.

1402231400 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 1402231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754536140).

1402231400 is an abundant number, since it is smaller than the sum of its proper divisors (2106840880).

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

1402231400 is a wasteful number, since it uses less digits than its factorization.

1402231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1402231400 is about 37446.3803324166. The cubic root of 1402231400 is about 1119.2829700482.

Adding to 1402231400 its reverse (41322041), we get a palindrome (1443553441).

The spelling of 1402231400 in words is "one billion, four hundred two million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 61 68 85 100 122 136 170 200 244 305 340 425 488 610 680 850 1037 1220 1525 1700 2074 2440 3050 3400 4148 5185 6100 6761 8296 10370 12200 13522 20740 25925 27044 33805 41480 51850 54088 67610 103700 114937 135220 169025 207400 229874 270440 338050 412421 459748 574685 676100 824842 919496 1149370 1352200 1649684 2062105 2298740 2873425 3299368 4124210 4597480 5746850 7011157 8248420 10310525 11493700 14022314 16496840 20621050 22987400 28044628 35055785 41242100 56089256 70111570 82484200 140223140 175278925 280446280 350557850 701115700 1402231400