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140218100 = 225211196709
BaseRepresentation
bin10000101101110…
…00111011110100
3100202211211001222
420112320323310
5241343434400
621525205512
73321556061
oct1026707364
9322754058
10140218100
1172170a30
123ab60898
13230856b9
141489dc68
15c49b185
hex85b8ef4

140218100 has 72 divisors (see below), whose sum is σ = 349456800. Its totient is φ = 48297600.

The previous prime is 140218093. The next prime is 140218129. The reversal of 140218100 is 1812041.

It is a super-2 number, since 2×1402181002 = 39322231135220000, which contains 22 as substring.

It is a congruent number.

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, 17546 + ... + 24254.

Almost surely, 2140218100 is an apocalyptic number.

140218100 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 140218100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174728400).

140218100 is an abundant number, since it is smaller than the sum of its proper divisors (209238700).

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

140218100 is a wasteful number, since it uses less digits than its factorization.

140218100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6746 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 140218100 is about 11841.3723866788. The cubic root of 140218100 is about 519.5189090875.

The spelling of 140218100 in words is "one hundred forty million, two hundred eighteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 6709 10450 13418 20900 26836 33545 67090 73799 127471 134180 147598 167725 254942 295196 335450 368995 509884 637355 670900 737990 1274710 1402181 1475980 1844975 2549420 2804362 3186775 3689950 5608724 6373550 7010905 7379900 12747100 14021810 28043620 35054525 70109050 140218100