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212252157 = 34131771167
BaseRepresentation
bin11001010011010…
…11010111111101
3112210101112020000
430221223113331
5413314032112
633021144513
75155053645
oct1451532775
9483345200
10212252157
11a98a1207
125b0bb139
1334c86cc0
1420291525
15139797dc
hexca6b5fd

212252157 has 80 divisors (see below), whose sum is σ = 368831232. Its totient is φ = 120476160.

The previous prime is 212252147. The next prime is 212252167. The reversal of 212252157 is 751252212.

It is an interprime number because it is at equal distance from previous prime (212252147) and next prime (212252167).

It is not a de Polignac number, because 212252157 - 212 = 212248061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

212252157 is a Rhonda number in base 10.

Its product of digits (2800) is a multiple of the sum of its prime factors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 212252157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212252137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1270888 + ... + 1271054.

Almost surely, 2212252157 is an apocalyptic number.

212252157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

212252157 is a deficient number, since it is larger than the sum of its proper divisors (156579075).

212252157 is a wasteful number, since it uses less digits than its factorization.

212252157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 212252157 is about 14568.8763121937. The cubic root of 212252157 is about 596.5095084914.

The spelling of 212252157 in words is "two hundred twelve million, two hundred fifty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 17 27 39 51 71 81 117 153 167 213 221 351 459 501 639 663 923 1053 1207 1377 1503 1917 1989 2171 2769 2839 3621 4509 5751 5967 6513 8307 8517 10863 11857 13527 15691 17901 19539 24921 25551 32589 35571 36907 47073 58617 74763 76653 97767 106713 110721 141219 154141 175851 201569 229959 320139 332163 423657 462423 604707 960417 996489 1270971 1387269 1814121 2620397 2989467 4161807 5442363 7861191 12485421 16327089 23583573 70750719 212252157