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210142242 = 23319316607
BaseRepresentation
bin11001000011010…
…00010000100010
3112122102022222000
430201220100202
5412244022432
632504024430
75131115412
oct1441502042
9478368860
10210142242
11a868aa82
125a462116
13346c882b
141dca2642
15136ae57c
hexc868422

210142242 has 64 divisors (see below), whose sum is σ = 507494400. Its totient is φ = 64210320.

The previous prime is 210142213. The next prime is 210142271. The reversal of 210142242 is 242241012.

It is an interprime number because it is at equal distance from previous prime (210142213) and next prime (210142271).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28503 + ... + 35109.

It is an arithmetic number, because the mean of its divisors is an integer number (7929600).

Almost surely, 2210142242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210142242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253747200).

210142242 is an abundant number, since it is smaller than the sum of its proper divisors (297352158).

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

210142242 is a wasteful number, since it uses less digits than its factorization.

210142242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 210142242 is about 14496.2837306670. The cubic root of 210142242 is about 594.5263674233.

Adding to 210142242 its reverse (242241012), we get a palindrome (452383254).

The spelling of 210142242 in words is "two hundred ten million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1178 1674 1767 3534 5301 6607 10602 13214 15903 19821 31806 39642 59463 118926 125533 178389 204817 251066 356778 376599 409634 614451 753198 1129797 1228902 1843353 2259594 3389391 3686706 3891523 5530059 6778782 7783046 11060118 11674569 23349138 35023707 70047414 105071121 210142242