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2141427400 = 235272218513
BaseRepresentation
bin111111110100011…
…1001011011001000
312112020110210010221
41333220321123020
513341201134100
6552254115424
7104031555400
oct17750713310
95466423127
102141427400
119a9864112
124b91abb74
13281864308
14164591800
15c7eec01a
hex7fa396c8

2141427400 has 72 divisors (see below), whose sum is σ = 5791713570. Its totient is φ = 734200320.

The previous prime is 2141427383. The next prime is 2141427413. The reversal of 2141427400 is 47241412.

It can be written as a sum of positive squares in 3 ways, for example, as 1141223524 + 1000203876 = 33782^2 + 31626^2 .

It is a super-2 number, since 2×21414274002 = 9171422618941520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99457 + ... + 119056.

Almost surely, 22141427400 is an apocalyptic number.

2141427400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141427400 is an abundant number, since it is smaller than the sum of its proper divisors (3650286170).

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

2141427400 is a wasteful number, since it uses less digits than its factorization.

2141427400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218543 (or 218527 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2141427400 is about 46275.5594239551. The cubic root of 2141427400 is about 1288.9451946711.

Adding to 2141427400 its reverse (47241412), we get a palindrome (2188668812).

The spelling of 2141427400 in words is "two billion, one hundred forty-one million, four hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 218513 437026 874052 1092565 1529591 1748104 2185130 3059182 4370260 5462825 6118364 7647955 8740520 10707137 10925650 12236728 15295910 21414274 21851300 30591820 38239775 42828548 43702600 53535685 61183640 76479550 85657096 107071370 152959100 214142740 267678425 305918200 428285480 535356850 1070713700 2141427400